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# What is the perimeter of the triangle shown? (1) The area of the tria

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Re: What is the perimeter of the triangle shown? (1) The area of the tria [#permalink]
1
Kudos
This question can be easily be done by busters graphical approach.
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Re: What is the perimeter of the triangle shown? (1) The area of the tria [#permalink]
I)area of ∆ =96
x*y/2=96
x*y=2^6*3

There can be number of values which x and y can take but only values 16 and 12 will square up to give 400
So sufficient

II)x^2 +(x+4)^2=400
Solving equation we get unique value of x as 12 and y as 16 so
Sufficient

Ans D

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Re: What is the perimeter of the triangle shown? (1) The area of the tria [#permalink]
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Kudos
I guess there is no need to solve any equation.
To find out the perimeter, we need to find the values of 'x' and 'y'. To solve this, we need to have 2 equations (to calculate values of 'n' number of variables, we need 'n' equations).
We can deduce 1 equation from figure itself i.e. x^2 + y^2 = 400 (From pythagoras theorem) and we need to deduce 2nd one now.

(a) Area of triangle is 96.
Hence, (1/2)*x*y = 96. (2nd equation)
(b) y = x + 4 (2nd equation)

So, we can get an equation from either of these options, leading us to mark answer 'D'
Re: What is the perimeter of the triangle shown? (1) The area of the tria [#permalink]
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