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The perimeter of the rectangle shown is 18 feet. What is the area, in

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The perimeter of the rectangle shown is 18 feet. What is the area, in [#permalink]

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The perimeter of the rectangle shown is 18 feet. What is the area, in square feet, of the rectangle?

(A) 9
(B) 10
(C) 20
(D) 30
(E) 40


[Reveal] Spoiler:
Attachment:
2018-03-30_1049.png
2018-03-30_1049.png [ 4.71 KiB | Viewed 249 times ]
[Reveal] Spoiler: OA

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Re: The perimeter of the rectangle shown is 18 feet. What is the area, in [#permalink]

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New post 30 Mar 2018, 00:07
Bunuel wrote:
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The perimeter of the rectangle shown is 18 feet. What is the area, in square feet, of the rectangle?

(A) 9
(B) 10
(C) 20
(D) 30
(E) 40


[Reveal] Spoiler:
Attachment:
2018-03-30_1049.png


2(l+b) = perimter

2(10/x + 8 x) =18
2 x 18 = 18 x X
X= 2

so l and b are 5 and 4

area = l*b = 20
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Re: The perimeter of the rectangle shown is 18 feet. What is the area, in [#permalink]

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New post 30 Mar 2018, 00:58
Perimeter of rectangle= 2(L+B)= 18

= 2(\(\frac{8}{x}\)+\(\frac{10}{x}\))= 18

= 2(\(\frac{8+10}{x}\))= 18

= 2(\(\frac{18}{x}\)) =18

x=2

Length= \(\frac{10}{2}\)= 5

Breadth= \(\frac{8}{2}\)= 4

Area= 5*4= 20

\(Answer: C.\)
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Re: The perimeter of the rectangle shown is 18 feet. What is the area, in   [#permalink] 30 Mar 2018, 00:58
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