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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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Example Questions

Example Question #31 : How To Find The Perimeter Of A Rectangle

A rectangle measures inches along its short side, and inches along its long side. What is the perimeter of the rectangle?

Possible Answers:

2n + 2+m

2n + 2m

4nm

Correct answer:

2n + 2m

Explanation:

To find the perimeter of any object, simply add the length of each side together. The best answer is:

n + n + m + m = 2n + 2m

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Example Question #101 : Plane Geometry

Use the following to answer the question.

Rectangle2

You go to the community center to go swimming. You see that the pool is a rectangular shape. If the pool has a length of 45 feet and a width of 20 feet, what is the perimeter of the pool?

Possible Answers:

$130\text{ feet}$

$900\text{ feet}$

$900\text{ feet}^2$

$130 \text{ feet}^2$

$\text{There is not enough information to answer the question.}$

Correct answer:

$130\text{ feet}$

Explanation:

To find the perimeter of a rectangle, we use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, given the rectangle

Rectangle2

we can see that the length is 45 feet. We also see the width is 20 feet. Now, because it is a rectangle, we know that opposite sides of the rectangle are equal. In other words,

Rectangle3

So, now that we know the lengths of all the sides of the rectangle, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 20\text{ feet} + 20\text{ feet} + 45\text{ feet} + 45 \text{ feet}$

$\text{perimeter of rectangle} = 130 \text{ feet}$

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Example Question #122 : Geometry

Find the perimeter of a rectangle with a length of 10cm and a width that is half the length.

Possible Answers:

$\text{There is not enough information to solve the problem.}$

$30\text{cm}^2$

$50\text{cm}$

$30\text{cm}$

$50\text{cm}^2$

Correct answer:

$30\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 10cm. We also know that because it is a rectangle, the opposite length is also 10cm.

We know the width of the rectangle is half the length. Therefore, the width is 5cm. We also know that because it is a rectangle, the opposite width is also 5cm.

Now, knowing all of this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 10\text{cm} + 10\text{cm} + 5\text{cm} +5\text{cm}$

$\text{perimeter of rectangle} = 30\text{cm}$

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Example Question #111 : Plane Geometry

Find the perimeter of a rectangle with a length of 14 inches and a width that is half the length.

Possible Answers:

$42\text{in}^2$

$56\text{in}$

$42\text{in}$

$98\text{in}$

$56\text{in}^2$

Correct answer:

$42\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 14 inches. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 14 inches. We also know the width is half the length. Therefore, the width is 7 inches. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 7 inches. Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 14\text{in} + 14\text{in} +7\text{in} + 7\text{in}$

$\text{perimeter of rectangle} = 42\text{in}$

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Example Question #131 : Geometry

Find the perimeter of a rectangle with a length of 10cm and a width that is half the length.

Possible Answers:

$30\text{cm}^2$

$50\text{cm}$

$30\text{cm}$

$\text{There is not enough information to answer the question.}$

$50\text{cm}^2$

Correct answer:

$30\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the base of the rectangle has a length of 10cm. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 10cm.

We know the width is half the length. Therefore, the width is 5cm. Because it is a rectangle, we know the opposite side is the same length. Therefore, the opposite side is also 5cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 10\text{cm} + 10\text{cm} + 5\text{cm} + 5\text{cm}$

$\text{perimeter of rectangle} = 30\text{cm}$

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Example Question #132 : Geometry

Find the perimeter of a rectangle with a length of 10 inches and a width that is twice the length.

Possible Answers:

$50\text{in}^2$

$15\text{in}$

$30\text{in}^2$

$60\text{in}$

$50\text{in}$

Correct answer:

$60\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 10 inches. Because it is a rectangle, we know the opposite side is also 10 inches. We also know the width is twice the length. Therefore, the width is 20 inches. Because it is a rectangle, we know the opposite side is also 20 inches. Knowing all of this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 10\text{in} + 10\text{in} + 20\text{in} + 20\text{in}$

$\text{perimeter of rectangle} = 60\text{in}$

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Example Question #111 : Plane Geometry

Find the perimeter of a rectangle with a length of 7cm and a width of 4cm.

Possible Answers:

$28\text{cm}$

$28\text{cm}^2$

$\text{There is not enough information to solve the problem.}$

$22\text{cm}^2$

$22\text{cm}$

Correct answer:

$22\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 7cm. Because it is a rectangle, we know the opposite side is also 7cm. We also know the width of the rectangle iis 4cm. Because it is a rectangle, the opposite side is also 4cm. Knowing this, we can substitute into the formula.

$\text{perimeter of rectangle} = 7\text{cm} + 7\text{cm} + 4\text{cm} + 4\text{cm}$

$\text{perimeter of rectangle} = 22\text{cm}$

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Example Question #131 : Geometry

Find the perimeter of a rectangle with a length of 7cm and a width of 3cm.

Possible Answers:

$20\text{cm}^2$

$49\text{cm}$

$21\text{cm}^2$

$20\text{cm}$

$21\text{cm}$

Correct answer:

$20\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 7cm. Because it is a rectangle, we know the opposite side is also 7cm. We know the width of the rectangle is 3cm. Because it is a rectangle, we know the opposite side is also 3cm. Knowing all of this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 7\text{cm} + 7\text{cm} + 3\text{cm} + 3\text{cm}$

$\text{perimeter of rectangle} = 20\text{cm}$

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Example Question #32 : How To Find The Perimeter Of A Rectangle

Use the following figure to answer the question:

Rectangle1

Find the perimeter.

Possible Answers:

$15\text{in}$

$18\text{in}$

$6\text{in}$

$9\text{in}$

$12\text{in}$

Correct answer:

$18\text{in}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, in the rectangle

Rectangle1

we can see the length is 6 inches. Because it is a rectangle, we know the opposite side is also 6 inches.

We can also see the width is 3 inches. Because it is a rectangle, we know the opposite side is also 3 inches.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 6\text{in} + 6\text{in} + 3\text{in} + 3\text{in}$

$\text{perimeter of rectangle} = 18\text{in}$

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Example Question #41 : How To Find The Perimeter Of A Rectangle

Find the perimeter of a rectangle with a length of 8cm and a width of 6cm.

Possible Answers:

$48\text{cm}$

$14\text{cm}$

$28\text{cm}$

$26\text{cm}$

$24\text{cm}$

Correct answer:

$28\text{cm}$

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

$\text{perimeter of rectangle} = a+b+c+d$

where a, b, c, and d are the lengths of the sides of the rectangle.

Now, we know the length of the rectangle is 8cm. Because it is a rectangle, we know the opposite side is also 8cm.

We know the width of the rectangle is 6cm. Because it is a rectangle, we know the opposite side is also 6cm.

Knowing this, we can substitute into the formula. We get

$\text{perimeter of rectangle} = 8\text{cm} + 8\text{cm} + 6\text{cm} +6\text{cm}$

$\text{perimeter of rectangle} = 28\text{cm}$

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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #31 : How To Find The Perimeter Of A Rectangle

Example Question #101 : Plane Geometry

Example Question #122 : Geometry

Example Question #111 : Plane Geometry

Example Question #131 : Geometry

Example Question #132 : Geometry

Example Question #111 : Plane Geometry

Example Question #131 : Geometry

Example Question #32 : How To Find The Perimeter Of A Rectangle

Example Question #41 : How To Find The Perimeter Of A Rectangle

All ISEE Lower Level Math Resources

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