BTGmoderatorLU wrote:Source: Official Guide
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
$$A.\ \sqrt{13}$$
$$B.\ 2\sqrt{13}$$
$$C.\ 6$$
$$D.\ 8$$
$$E.\ 10$$
ALWAYS KEEP YOUR EYES ON THE ANSWER CHOICES.
C, D and E imply that the flower bed is probably a 6-8-10 triangle in which y=6, x = y+2 = 6+2 = 8, and z=10.
Check whether this triangle satisfies the condition that the flower bed has an area of 24 square yards:
Area of a 6-8-10 triangle = (1/2)(6)(8) = 24.
Success!
Thus, z=10.
The correct answer is
E.
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