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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: 42629

Kudos [?]: 135833 [0], given: 12715

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

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01 Sep 2017, 06:40
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90% (00:32) correct 10% (00:47) wrong based on 15 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

[Reveal] Spoiler:
Attachment:

2017-09-01_1836_001.png [ 5.79 KiB | Viewed 478 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135833 [0], given: 12715

VP
Joined: 22 May 2016
Posts: 1136

Kudos [?]: 406 [0], given: 647

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

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01 Sep 2017, 07:41
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

[Reveal] Spoiler:
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

Kudos [?]: 406 [0], given: 647

If the perimeter of ∆ ABC above is 32, what is the area of ∆ ABC in   [#permalink] 01 Sep 2017, 07:41
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