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SSAT Elementary Level Math : How to find the area of a rectangle

Study concepts, example questions & explanations for SSAT Elementary Level Math

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

Aaron and his family just moved into a new house. He wants to figure out the size of his new room. It is a rectangle. One side is 12 feet and the other side is 10 feet. What is the area of his new room?

Possible Answers:

$22ft^{2}$ $\displaystyle 22ft^{2}$

$100ft^{2}$ $\displaystyle 100ft^{2}$

$44ft^{2}$ $\displaystyle 44ft^{2}$

$120ft^{2}$ $\displaystyle 120ft^{2}$

$12ft^{2}$ $\displaystyle 12ft^{2}$

Correct answer:

$120ft^{2}$ $\displaystyle 120ft^{2}$

Explanation:

To find the area of a rectangle, multiply the length by the width $(l \times w)$ $\displaystyle (l \times w)$.

The question tells us that the length is 12 feet and the width is 10 feet.

$12 ft \times10ft = 120ft^{2}$ $\displaystyle 12 ft \times10ft = 120ft^{2}$

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Example Question #1 : Rectangles

If Tim draws a rectangle with a long side of 8 mm and a short side of 4 mm, what is the area?

Possible Answers:

$24mm^{2}$ $\displaystyle 24mm^{2}$

$12mm^{2}$ $\displaystyle 12mm^{2}$

$32mm^{2}$ $\displaystyle 32mm^{2}$

$28mm^{2}$ $\displaystyle 28mm^{2}$

Correct answer:

$32mm^{2}$ $\displaystyle 32mm^{2}$

Explanation:

To find the area of a rectangle, multiply the length (8mm) by the width (4mm).

$8mm\times 4mm=32mm^{2}$ $\displaystyle 8mm\times 4mm=32mm^{2}$

Therefore, the area is $32mm^{2}$ $\displaystyle 32mm^{2}$.

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Example Question #1 : Rectangles

Screen_shot_2013-12-23_at_8.09.23_pm

What is the area of the above rectangle?

Possible Answers:

$\displaystyle 11$

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 38$

$\displaystyle 12$

Correct answer:

$\displaystyle 24$

Explanation:

To find the area of the rectangle, multiply the longer side (8) and shorter side (3) together.

$8\times 3=24$ $\displaystyle 8\times 3=24$

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Example Question #61 : Geometry

John needs a tablecloth that covers his entire dining room table. The tabletop measures 4 feet by 7 feet. Which of the following tablecloths should John buy?

Possible Answers:

$\fn_cm 27\:ft^2$ $\displaystyle \fn_cm 27\:ft^2$

$11\:ft^2$ $\displaystyle 11\:ft^2$

$22\:ft^2$ $\displaystyle 22\:ft^2$

$\fn_cm \fn_cm 32\:ft^2$ $\displaystyle \fn_cm \fn_cm 32\:ft^2$

Correct answer:

$\fn_cm \fn_cm 32\:ft^2$ $\displaystyle \fn_cm \fn_cm 32\:ft^2$

Explanation:

The tablecloth measurements are areas, shown by the ft^2 $\displaystyle ft^2$ units in the answer choices. Since the tabletop is 4 ft by 7 ft, John needs a tablecloth with an area of AT LEAST $28\: ft^2$ $\displaystyle 28\: ft^2$.

$\fn_cm \fn_cm 32\:ft^2$ $\displaystyle \fn_cm \fn_cm 32\:ft^2$ is the only answer choice that meets that requirement.

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Example Question #61 : Plane Geometry

Screen_shot_2014-01-02_at_10.15.24_pm

What is the area of the above rectangle?

Possible Answers:

$\displaystyle 33$

$\displaystyle 15$

$\displaystyle 36$

$\displaystyle 16$

$\displaystyle 30$

Correct answer:

$\displaystyle 36$

Explanation:

To find the area of the rectangle, multiply the longer side (12) and the shorter side (3) together.

$12\times 3 = 36$ $\displaystyle 12\times 3 = 36$

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Example Question #3 : How To Find The Area Of A Rectangle

A rectangle has a perimeter of $20\ m$ $\displaystyle 20\ m$. One of its sides has a length of $4\ m$ $\displaystyle 4\ m$.

What is the area of the rectangle?

Possible Answers:

$20\ m^2$ $\displaystyle 20\ m^2$

$24\ m^2$ $\displaystyle 24\ m^2$

$36\ m^2$ $\displaystyle 36\ m^2$

$40\ m^2$ $\displaystyle 40\ m^2$

$64\ m^2$ $\displaystyle 64\ m^2$

Correct answer:

$24\ m^2$ $\displaystyle 24\ m^2$

Explanation:

The perimeter of a figure is the sum of the lengths of all its sides. Every rectangle has two sets of two equal-length sides. One set of sides is $4\ m$ $\displaystyle 4\ m$ each, or $8\ m$ $\displaystyle 8\ m$ when added together.

$2 \times 4\ m = 8\ m$ $\displaystyle 2 \times 4\ m = 8\ m$

We subtract $8\ m$ $\displaystyle 8\ m$ from the total $20\ m$ $\displaystyle 20\ m$ perimeter to find the lengths of the remaining sides.

$20\ m - 8\ m = 12\ m$ $\displaystyle 20\ m - 8\ m = 12\ m$

Since there are two remaining sides, the length of each of the remaining sides must be $6\ m$ $\displaystyle 6\ m$.

$12\ m \div 2=6\ m$ $\displaystyle 12\ m \div 2=6\ m$

The area of a rectangle is given by multiplying the length of its longer side by the length of its shorter side.

$6\ m \times 4\ m = 24\ m^2$ $\displaystyle 6\ m \times 4\ m = 24\ m^2$

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Example Question #64 : Quadrilaterals

Screen_shot_2014-02-12_at_9.31.18_pm

What is the area of the above rectangle?

Possible Answers:

$\displaystyle 75$

$\displaystyle 57$

$\displaystyle 12$

$\displaystyle 35$

$\displaystyle 24$

Correct answer:

$\displaystyle 35$

Explanation:

To find the area of the rectangle, multiply the longer side (7) and the shorter side (5) together.

$$7\times 5 = 35$ $\displaystyle $7\times 5 = 35$

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Example Question #71 : Plane Geometry

Screen_shot_2014-03-04_at_9.28.42_pm

What is the area of the rectangle?

Possible Answers:

$\displaystyle 32$

$\displaystyle 24$

$\displaystyle 19$

$\displaystyle 17$

$\displaystyle 27$

Correct answer:

$\displaystyle 27$

Explanation:

To find the area of a rectangle, multiply the width by the length.

$$9\times 3$ = 27$ $\displaystyle $9\times 3$ = 27$

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Example Question #72 : Plane Geometry

Screen_shot_2014-03-16_at_5.20.52_pm

What is the area of the rectangle?

Possible Answers:

$\displaystyle 18$

$\displaystyle 45$

$\displaystyle 72$

$\displaystyle 59$

$\displaystyle 65$

Correct answer:

$\displaystyle 65$

Explanation:

To find the area of a rectangle, multiply the length of the longer side by the shorter side.

$13 \times 5 = 65$ $\displaystyle 13 \times 5 = 65$

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Example Question #2 : Rectangles

Bdaycake

A rectangular birthday cake (shown in the diagram) measures 8 inches by 12 inches. The cake is then divided into four identical rectangular slices. What is the area of each slice?

Possible Answers:

$6\:in^2$ $\displaystyle 6\:in^2$

$26\ in^2$ $\displaystyle 26\ in^2$

$24\:in^2$ $\displaystyle 24\:in^2$

$12\:in^2$ $\displaystyle 12\:in^2$

$10\:in^2$ $\displaystyle 10\:in^2$

Correct answer:

$24\:in^2$ $\displaystyle 24\:in^2$

Explanation:

$Area_{cake} = 12\times8=96$ $\displaystyle Area_{cake} = 12\times8=96$

$Area_{slice}=Area_{cake}\div4=96\div4=24.$ $\displaystyle Area_{slice}=Area_{cake}\div4=96\div4=24.$

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SSAT Elementary Level Math : How to find the area of a rectangle

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #1 : How To Find The Area Of A Rectangle

Example Question #1 : Rectangles

Example Question #1 : Rectangles

Example Question #61 : Geometry

Example Question #61 : Plane Geometry

Example Question #3 : How To Find The Area Of A Rectangle

Example Question #64 : Quadrilaterals

Example Question #71 : Plane Geometry

Example Question #72 : Plane Geometry

Example Question #2 : Rectangles

All SSAT Elementary Level Math Resources

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