dave13 wrote:

oss198 wrote:

In the figure shown above, line segment QR has length 12, and rectangle MPQT is a square. If the area of rectangular region MPRS is 540, what is the area of rectangular region TQRS?

(A) 144

(B) 216

(C) 324

(D) 360

(E) 396

Attachment:

The attachment **Picture 1.png** is no longer available

why isn't E an answer if QR has length 12, and rectangle MPQT is a square -- hence area of square is 144

if area of rectangle TQRS? is 540 so 540-144 = 396

so whats wrong with my reasoning ?

Hi

dave13Attachment:

Picture 1.png [ 9.84 KiB | Viewed 134 times ]
As you can see, we are given the following details

1. Length of a line segment of QRST which might be a square/rectangle - QR = 12

2. MPQT(the highlighted portion) is a square.

We have been asked to find the area of QRST, and know that MPQT is a square.

That's the reason your reasoning is wrong!

Hope that clears the confusion.

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