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SAT Math : Rectangles

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Example Question #31 : Rectangles

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 perimeter of the poster?

Possible Answers:

9ft

12ft

9.5ft

4.5ft^2

Correct answer:

9ft

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 perimeter of the poster?

Perimeter of a rectangle is found via:

P=2l+2w=2(3ft)+2(1.5ft)=6ft+3ft=9ft

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Example Question #3 : How To Find The Perimeter 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 perimeter 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 perimeter of a rectangle is equal to twice the sum of its length and width, so calculate:

$P= 2 (10+ 7 ) = 2 \times 17 = 34$ .

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Example Question #3 : How To Find The Perimeter Of A Figure

A rectangular garden has an area of $80\: \mbox{m^2}$ . Its length is meters longer than its width. How much fencing is needed to enclose the garden?

Possible Answers:

$36\: \mbox{meters}$

$18\: \mbox{meters}$

$54\: \mbox{meters}$

$24\: \mbox{meters}$

$40\: \mbox{meters}$

Correct answer:

$36\: \mbox{meters}$

Explanation:

We define the variables as $w = \mbox{width}$ and $l = \mbox{length} = w + 2$ .

We substitute these values into the equation for the area of a rectangle and get $A_{\mbox{rectangle} }= wl = w(w + 2) = 80$ .

w^2 +2w-80=0

(w - 8)(w + 10) = 0

w = 8 or w = -10

Lengths cannot be negative, so the only correct answer is w = 8 . If w = 8 , then l = 10 .

Therefore, $\mbox{perimeter }= 2w + 2l = 16 + 20 = 36\:\mbox{m}$ .

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SAT Math : Rectangles

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #31 : Rectangles

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

Example Question #3 : How To Find The Perimeter Of A Figure

All SAT Math Resources

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