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ISEE Lower Level Math : Rectangles

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

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Example Questions

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Example Question #64 : Plane Geometry

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

Possible Answers:

$49\text{cm}^2$

$20\text{cm}$

$21\text{cm}$

$21\text{cm}^2$

$20\text{cm}^2$

Correct answer:

$21\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 7cm. We also know the width of the triangle is 3cm. Knowing this, we can substitute into the formula. We get

$\text{area of triangle} = 7\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 21\text{cm}^2$

Report an Error

Example Question #51 : How To Find The Area Of A Rectangle

Use the following figure to answer the question:

Rectangle1

Find the area.

Possible Answers:

$15\text{in}^2$

$6\text{in}^2$

$9\text{in}^2$

$12\text{in}^2$

$18\text{in}^2$

Correct answer:

$18\text{in}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l and w are the length and the width of the rectangle.

Now, let's look at the rectangle

Rectangle1

We can see the length, or the long side, is 6 inches. We can also see the width, or the short side, is 3 inches.

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

$\text{area of rectangle} = 6\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 18\text{cm}^2$

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Example Question #61 : Plane Geometry

Find the area of a rectangle with a length of 8 feet and a width of 7 feet.

Possible Answers:

$56\text{ft}^2$

$30\text{ft}$

$15\text{ft}$

$56\text{ft}$

$30\text{ft}^2$

Correct answer:

$56\text{ft}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 8ft. We also know the width of the rectangle is 7ft.

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

$\text{area of rectangle} = 8\text{ft} \cdot 7\text{ft}$

$\text{area of rectangle} = 56\text{ft}^2$

Report an Error

Example Question #81 : Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the area.

Possible Answers:

$55\text{in}$

$32\text{in}^2$

$16\text{in}^2$

$55\text{in}^2$

$32\text{in}$

Correct answer:

$55\text{in}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in.

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

$\text{area of rectangle} = 11\text{in} \cdot 5\text{in}$

$\text{area of rectangle} = 55\text{in}^2$

Report an Error

Example Question #68 : Plane Geometry

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

Possible Answers:

$42\text{cm}^2$

$36\text{cm}^2$

$54\text{cm}^2$

$28\text{cm}^2$

$48\text{cm}^2$

Correct answer:

$48\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the length of the rectangle is 8cm. We also know the width of the rectangle is 6cm. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 8\text{cm} \cdot 6\text{cm}$

$\text{area of rectangle} = 48\text{cm}^2$

Report an Error

Example Question #51 : How To Find The Area Of A Rectangle

Use the following rectangle to answer the question:

Rectangle1

Find the area.

Possible Answers:

$36\text{in}^2$

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

$9\text{in}^2$

$12\text{in}^2$

$18\text{in}^2$

Correct answer:

$18\text{in}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, let's look at the rectangle.

Rectangle1

We can see the length is 6 inches. We can also see the width is 3 inches.

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

$\text{area of rectangle} = 6\text{in} \cdot 3\text{in}$

$\text{area of rectangle} = 18\text{in}^2$

Report an Error

Example Question #70 : Plane Geometry

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

Possible Answers:

$30\text{cm}^2$

$10\text{cm}^2$

$15\text{cm}^2$

$50\text{cm}^2$

$20\text{cm}^2$

Correct answer:

$50\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 5cm. We also know the length is two times the width. Therefore, the length is 10cm.

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

$\text{area of rectangle} = 10\text{cm} \cdot 5\text{cm}$

$\text{area of rectangle} = 50\text{cm}^2$

Report an Error

Example Question #71 : Plane Geometry

Use the following image to answer the question:

Rectangle4

Find the area.

Possible Answers:

$72\text{cm}^2$

$32\text{cm}^2$

$16\text{cm}^2$

$25\text{cm}^2$

$63\text{cm}^2$

Correct answer:

$63\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, given the rectangle

Rectangle4

We can see the length is 9cm. We can also see the width is 7cm.

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

$\text{area of rectangle} = 9\text{cm} \cdot 7\text{cm}$

$\text{area of rectangle} = 63\text{cm}^2$

Report an Error

Example Question #72 : Plane Geometry

Use the following rectangle to answer the question:

Rectangle2

Find the area.

Possible Answers:

$32\text{in}^2$

$55\text{in}$

$32\text{in}$

$16\text{in}^2$

$55\text{in}^2$

Correct answer:

$55\text{in}^2$

Explanation:

To find the area of a rectangle, we will use the following equation:

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

So, given the rectangle

Rectangle2

we can see the length is 11in and the width is 5in.

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

$\text{area of rectangle} = 11\text{in} \cdot 5\text{in}$

$\text{area of rectangle} = 55\text{in}^2$

Report an Error

Example Question #71 : Quadrilaterals

Find the area of a rectangle with a width of 3cm and a length that is four times the width.

Possible Answers:

$14\text{cm}^2$

$12\text{cm}^2$

$36\text{cm}^2$

$18\text{cm}^2$

$24\text{cm}^2$

Correct answer:

$36\text{cm}^2$

Explanation:

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

$\text{area of rectangle} = l \cdot w$

where l is the length and w is the width of the rectangle.

Now, we know the width of the rectangle is 3cm. We also know the length is four times the width. Therefore, the length is 12cm.

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

$\text{area of rectangle} = 12\text{cm} \cdot 3\text{cm}$

$\text{area of rectangle} = 36\text{cm}^2$

Report an Error

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ISEE Lower Level Math : Rectangles

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #64 : Plane Geometry

Example Question #51 : How To Find The Area Of A Rectangle

Example Question #61 : Plane Geometry

Example Question #81 : Geometry

Example Question #68 : Plane Geometry

Example Question #51 : How To Find The Area Of A Rectangle

Example Question #70 : Plane Geometry

Example Question #71 : Plane Geometry

Example Question #72 : Plane Geometry

Example Question #71 : Quadrilaterals

All ISEE Lower Level Math Resources

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