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ISEE Lower Level Math : Plane Geometry

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Example Questions

Example Question #61 : Plane Geometry

Find the area of a rectangle with a width of 4 inches and a length that is twice the width.

Possible Answers:

$24\text{in}$

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

$24\text{in}^2$

$32\text{in}$

$32\text{in}^2$

Correct answer:

$32\text{in}^2$

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, we know the width of the rectangle is 4 inches. We also know the length is two times the width. Therefore, the length of the rectangle is 8 inches. Knowing this, we can substitute into the formula. We get

$\text{area of rectangle} = 8\text{in} \cdot 4\text{in}$

$\text{area of rectangle} = 32\text{in}^2$

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Example Question #62 : Plane Geometry

Find the area of a rectangle with a length of 10 inches and a width that is half the length.

Possible Answers:

$50\text{in}^2$

$15\text{in}^2$

$30\text{in}$

$30\text{in}^2$

$50\text{in}$

Correct answer:

$50\text{in}^2$

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, we know the length of the rectangle is 10 inches. We also know the width is half the length. Therefore, the width is 5 inches. Knowing this, we can substitute into the formula. We get

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

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

Report an Error

Example Question #81 : Geometry

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

Possible Answers:

$30\text{in}^2$

$30\text{in}$

$56\text{in}^2$

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

$56\text{in}$

Correct answer:

$56\text{in}^2$

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, we know the length is 8in and the width is 7in. Knowing this, we can substitute into the formula. We get

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

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

Report an Error

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

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

Possible Answers:

$21\text{cm}^2$

$21\text{cm}$

$20\text{cm}$

$20\text{cm}^2$

$49\text{cm}^2$

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:

$9\text{in}^2$

$12\text{in}^2$

$18\text{in}^2$

$6\text{in}^2$

$15\text{in}^2$

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

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

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

Report an Error

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:

$30\text{ft}$

$56\text{ft}^2$

$56\text{ft}$

$30\text{ft}^2$

$15\text{ft}$

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 #52 : How To Find The Area Of A Rectangle

Use the following rectangle to answer the question:

Rectangle2

Find the area.

Possible Answers:

$16\text{in}^2$

$55\text{in}$

$32\text{in}^2$

$55\text{in}^2$

$32\text{in}$

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 #54 : How To Find The Area Of A Rectangle

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

Possible Answers:

$42\text{cm}^2$

$28\text{cm}^2$

$48\text{cm}^2$

$36\text{cm}^2$

$54\text{cm}^2$

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 #86 : Geometry

Use the following rectangle to answer the question:

Rectangle1

Find the area.

Possible Answers:

$36\text{in}^2$

$18\text{in}^2$

$9\text{in}^2$

$12\text{in}^2$

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

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 #55 : How To Find The Area Of A Rectangle

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

Possible Answers:

$20\text{cm}^2$

$50\text{cm}^2$

$30\text{cm}^2$

$10\text{cm}^2$

$15\text{cm}^2$

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

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ISEE Lower Level Math : Plane Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #61 : Plane Geometry

Example Question #62 : Plane Geometry

Example Question #81 : Geometry

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

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

Example Question #61 : Plane Geometry

Example Question #52 : How To Find The Area Of A Rectangle

Example Question #54 : How To Find The Area Of A Rectangle

Example Question #86 : Geometry

Example Question #55 : How To Find The Area Of A Rectangle

All ISEE Lower Level Math Resources

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