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ISEE Lower Level Math : Geometry

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Example Questions

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

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

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

Report an Error

Example Question #133 : Geometry

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

Possible Answers:

$28\text{cm}^2$

$28\text{cm}$

$22\text{cm}^2$

$22\text{cm}$

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

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 #31 : How To Find The Perimeter Of A Rectangle

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

Possible Answers:

$21\text{cm}^2$

$20\text{cm}$

$49\text{cm}$

$20\text{cm}^2$

$21\text{cm}$

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

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

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

Report an Error

Example Question #131 : Geometry

Use the following figure to answer the question:

Rectangle1

Find the perimeter.

Possible Answers:

$15\text{in}$

$12\text{in}$

$18\text{in}$

$9\text{in}$

$6\text{in}$

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

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

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

Report an Error

Example Question #135 : Geometry

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

Possible Answers:

$14\text{cm}$

$24\text{cm}$

$28\text{cm}$

$48\text{cm}$

$26\text{cm}$

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

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

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

Report an Error

Example Question #136 : Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the perimeter.

Possible Answers:

$32\text{in}$

$55\text{in}$

$32\text{in}^2$

$55\text{in}^2$

$16\text{in}$

Correct answer:

$32\text{in}$

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, given the rectangle

Rectangle2

we can see the length is 11in. Because it is a rectangle, the opposite side is also 11in. We see the width is 5in. Because it is a rectangle, the opposite side is also 5in.

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

$\text{perimeter of rectangle} = 11\text{in} + 11\text{in} + 5\text{in} + 5\text{in}$

$\text{perimeter of rectangle} = 32\text{in}$

Report an Error

Example Question #119 : Plane Geometry

Find the perimeter of a rectangle with a length of 9in and a width of 4in

Possible Answers:

$36\text{in}$

$28\text{in}$

$24\text{in}$

$13\text{in}$

$26\text{in}$

Correct answer:

$26\text{in}$

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.

So, we know the length of the rectangle is 9in. Because it is a rectangle, the opposite side is also 9in. We know the width of the rectangle is 4in. Because it is a rectangle, we know the opposite side is also 4in.

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

$\text{perimeter of rectangle} = 9\text{in} + 9\text{in} +4\text{in} + 4\text{in}$

$\text{perimeter of rectangle} = 26\text{in}$

Report an Error

Example Question #131 : Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the perimeter.

Possible Answers:

$22\text{in}$

$16\text{in}$

$55\text{in}$

$32\text{in}$

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

Correct answer:

$32\text{in}$

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, let's look at the rectangle.

Rectangle2

We can see the length is 11 inches. Because it is a rectangle, the opposite side is also 11 inches. We can see the width is 5 inches. Because it is a rectangle, the opposite side is also 5 inches.

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

$\text{perimeter of rectangle} = 11\text{in} + 11\text{in} + 5\text{in} + 5\text{in}$

$\text{perimeter of rectangle} = 32\text{in}$

Report an Error

Example Question #137 : Geometry

Find the perimeter of a rectangle with a width of 5cm and a length that is two times the width.

Possible Answers:

$30\text{cm}$

$12\text{cm}$

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

$50\text{cm}$

$7\text{cm}$

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 width of the rectangle is 5cm. Because it is a rectangle, the opposite side is also 5cm. We also know the length is two times the width. Therefore, the length is 10cm. Because it is a rectangle, the opposite side is also 10cm.

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

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

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

Report an Error

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ISEE Lower Level Math : Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #131 : Geometry

Example Question #132 : Geometry

Example Question #133 : Geometry

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

Example Question #131 : Geometry

Example Question #135 : Geometry

Example Question #136 : Geometry

Example Question #119 : Plane Geometry

Example Question #131 : Geometry

Example Question #137 : Geometry

All ISEE Lower Level Math Resources

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