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# If the area of the parallelogram above is 360, what is its perimeter?

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Math Expert
Joined: 02 Sep 2009
Posts: 58435
If the area of the parallelogram above is 360, what is its perimeter?  [#permalink]

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06 Apr 2018, 04:36
00:00

Difficulty:

25% (medium)

Question Stats:

84% (01:55) correct 16% (02:24) wrong based on 52 sessions

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If the area of the parallelogram above is 360, what is its perimeter?

A. 100
B. 110
C. 120
D. 130
E. 140

Attachment:

Quadrilateral1.png [ 6.38 KiB | Viewed 871 times ]

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Joined: 22 Feb 2018
Posts: 419
Re: If the area of the parallelogram above is 360, what is its perimeter?  [#permalink]

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06 Apr 2018, 07:24

Area of parallelogram = B*H
H= square root of (10*10-6*6)
H=8
B=360/8
B=45
Perimeter of parallelogram = 2* (45+10)
= 2*55
= 110
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Marshall & McDonough Moderator
Joined: 13 Apr 2015
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Re: If the area of the parallelogram above is 360, what is its perimeter?  [#permalink]

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06 Apr 2018, 07:57
Area of parallelogram = 360

Remaining side of triangle = 8 (6, 8 and 10 is a Pythagorean triplet)

Area of the 2 triangles = 24 * 2 = 48

Area of the rectangle = 360 - 48 = 312

8 * x = 312 --> x = 39

Perimeter of the parallelogram = 45 * 2 + 10 * 2 = 110

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Re: If the area of the parallelogram above is 360, what is its perimeter?   [#permalink] 06 Apr 2018, 07:57
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