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In the figure shown above, line segment QR has length 12 and rectangle

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Re: In the figure shown above, line segment QR has length 12 and rectangle [#permalink]

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New post 24 Mar 2018, 14:16
oss198 wrote:
Image
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

[Reveal] Spoiler:
Attachment:
Picture 1.png



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 ?
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In the figure shown above, line segment QR has length 12 and rectangle [#permalink]

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New post 24 Mar 2018, 14:35
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dave13 wrote:
oss198 wrote:
Image
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

[Reveal] Spoiler:
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 dave13

Attachment:
Picture 1.png
Picture 1.png [ 9.84 KiB | Viewed 57 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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In the figure shown above, line segment QR has length 12 and rectangle   [#permalink] 24 Mar 2018, 14:35

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In the figure shown above, line segment QR has length 12 and rectangle

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