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SAT Math : Rectangles

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Example Questions

Example Question #11 : How To Find The Area Of A Rectangle

The width of a rectangle is a+b . The length of the rectangle is . What must be the area?

Possible Answers:

a+b+c

abc

ac+bc

a+bc

ac+b

Correct answer:

ac+bc

Explanation:

The area of a rectangle is:

$A=\textup{Length}\times \textup{ Width}$

Substitute the variables into the formula.

A=(a+b)(c) = ac+bc

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Example Question #11 : Rectangles

Find the area of a rectangle with side length 7 and 9.

Possible Answers:

$\frac{63}{2}$

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle.

Substitute in the side length of 7 and width of 9.

Thus,

A=w*l=7*9=63

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Example Question #12 : How To Find The Area Of A Rectangle

Find the area of a rectanlge given width is 2 and length is 3.

Possible Answers:

Correct answer:

Explanation:

To solve, simply use the formula for the area of a rectangle. Thus,

A=w*l=2*3=6

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Example Question #12 : Rectangles

A parallelogram with right angles has side lengths of and . What is its area?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

Remember that a parallelogram with right angles is a rectangle. With that in mind, all you need to do is multiply those side lengths together, knowing that they are the length and width of a rectangle: 8*6 = 48

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Example Question #13 : Rectangles

Find the area of a rectangle given width 6 and length 9.

Possible Answers:

Correct answer:

Explanation:

To solve, simply multiply the width by the length. Using the formula, you get the answer as follows:

A=w*l=6*9=54

Additionally, you can alternatively solve this problem by drawing out a rectangle, creating 6 horizontal lines and 9 vertical ones, and then adding up the squares to reach your answer.

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Example Question #11 : How To Find The Area Of A Rectangle

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the area of the poster?

Possible Answers:

12ft^2

4.5ft

6ft^2

4.5ft^2

Correct answer:

4.5ft^2

Explanation:

You have a poster of one of your favorite bands that you are planning on putting up in your dorm room. If the poster is 3 feet tall by 1.5 feet wide, what is the area of the poster?

Area of a rectangle is found via:

A=l*w=3ft*1.5ft=4.5ft^2

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Example Question #42 : Rectangles

If the area Rectangle A is $25\%$ larger than Rectangle B and the sides of Rectangle A are and , what is the area of Rectangle B?

Possible Answers:

Correct answer:

Explanation:

$A = \text{length}\: \times \:\text{width} = 10 \times 6 = 60$

A = 1.25 B

60 = 1.25B

$B =\frac{60}{1.25} = 48$

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Example Question #12 : How To Find The Area Of A Rectangle

Three of the vertices of a rectangle on the coordinate plane are located at the origin, (10, 0) , and (0, 7) . Give the area of the rectangle.

Possible Answers:

Correct answer:

Explanation:

The rectangle in question is below:

Rectangle 3

The lengths of the rectangle is 10, the distance from the origin to (10,0) ; its width is 7, the distance from the origin to (0, 7) . The area of a rectangle is equal to the product of its length and its width, so multiply:

$A = 10 \times 7 = 70$

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Example Question #201 : Plane Geometry

What is the length of the diagonal of a rectangle that is 3 feet long and 4 feet wide?

Possible Answers:

$5\ feet$

$4\ feet$

$7\ feet$

$8\ feet$

$6\ feet$

Correct answer:

$5\ feet$

Explanation:

The diagonal of the rectangle is equivalent to finding the length of the hypotenuse of a right triangle with sides 3 and 4. Using the Pythagorean Theorem:

$3^{2}+4^{2} = hypotenuse^{2}$

$25 = hypotenuse^{2}$

$hypotenuse = 5$

Therefore the diagonal of the rectangle is 5 feet.

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Example Question #202 : Plane Geometry

The length and width of a rectangle are in the ratio of 3:4. If the rectangle has an area of 108 square centimeters, what is the length of the diagonal?

Possible Answers:

12 centimeters

18 centimeters

9 centimeters

15 centimeters

24 centimeters

Correct answer:

15 centimeters

Explanation:

The length and width of the rectangle are in a ratio of 3:4, so the sides can be written as 3x and 4x.

We also know the area, so we write an equation and solve for x:

(3x)(4x) = 12x²= 108.

x² = 9

x = 3

Now we can recalculate the length and the width:

length = 3x = 3(3) = 9 centimeters

width = 4x = 4(3) = 12 centimeters

Using the Pythagorean Theorem we can find the diagonal, c:

length² + width² = c²

9² + 12²= c²

81 + 144 = c²

225 = c²

c = 15 centimeters

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SAT Math : Rectangles

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #11 : How To Find The Area Of A Rectangle

Example Question #11 : Rectangles

Example Question #12 : How To Find The Area Of A Rectangle

Example Question #12 : Rectangles

Example Question #13 : Rectangles

Example Question #11 : How To Find The Area Of A Rectangle

Example Question #42 : Rectangles

Example Question #12 : How To Find The Area Of A Rectangle

Example Question #201 : Plane Geometry

Example Question #202 : Plane Geometry

All SAT Math Resources

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