Walkabout wrote:

Attachment:

Shaded region.png

The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

(A) \(\sqrt{13}\)

(B) \(2\sqrt{13}\)

(C) 6

(D) 8

(E) 10

I actually did this a different way.

For a triangle area=\(\frac{B*H}{2}\) so solving I get that \(B*H=48\) now I would solve by algebra, but the problem tells that the difference between x & y is two, so what two numbers multiply to 48 that separated by 2... 6 & 8. Since it doesn't matter which side is which length I saw this was a pythagorean triplet and z or the hypotenuse is 10.

Answer E

Just another way to think about this

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