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# If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in  [#permalink]

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01 Sep 2017, 07:40
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Difficulty:

15% (low)

Question Stats:

89% (01:01) correct 11% (01:00) wrong based on 26 sessions

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If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in terms of x?

(A) 12x
(B) 10x
(C) 9x
(D) 6x
(E) 5x

Attachment:

2017-09-01_1836_001.png [ 5.79 KiB | Viewed 768 times ]

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If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in  [#permalink]

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01 Sep 2017, 08:41
Bunuel wrote:

If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in terms of x?

(A) 12x
(B) 10x
(C) 9x
(D) 6x
(E) 5x

Attachment:
2017-09-01_1836_001.png

Find base of ∆ ABC

Perimeter = 9 + 11 + AC
32 = 9 + 11 + AC
12 = AC, the base of ∆ ABC

Find area in terms of x, where base = 12 and h = x

Area ∆ ABC is $$\frac{(b * h)}{2}$$ =

$$\frac{(12 * x)}{2}$$ = 6x

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If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in   [#permalink] 01 Sep 2017, 08:41
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