A. \(x^2-x\)
B. \(x^2+9x\)
C. \(20x-x^2\)
D. \(9\)
E. \(20\)
Answer: E
Source: GMAT Paper Tests
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The figure above shows a rectangular parcel of undeveloped land partitioned into four regions, \(P, Q, R,\) and \(S.\)
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The figure above shows a rectangular parcel of undeveloped land partitioned into four regions, \(P, Q, R,\) and \(S.\) In square meters, the area of square region \(Q\) is \(x^2,\) the area of rectangular region \(R\) is \(5x,\) and the area of rectangular region \(P\) is \(4x.\) What is the area, in square meters, of rectangular region \(S?\)
A. \(x^2-x\)
B. \(x^2+9x\)
C. \(20x-x^2\)
D. \(9\)
E. \(20\)
Answer: E
Source: GMAT Paper Tests
A. \(x^2-x\)
B. \(x^2+9x\)
C. \(20x-x^2\)
D. \(9\)
E. \(20\)
Answer: E
Source: GMAT Paper Tests
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Solution:VJesus12 wrote: ↑Tue Sep 22, 2020 7:12 amAreaGeometry.PNG
The figure above shows a rectangular parcel of undeveloped land partitioned into four regions, \(P, Q, R,\) and \(S.\) In square meters, the area of square region \(Q\) is \(x^2,\) the area of rectangular region \(R\) is \(5x,\) and the area of rectangular region \(P\) is \(4x.\) What is the area, in square meters, of rectangular region \(S?\)
A. \(x^2-x\)
B. \(x^2+9x\)
C. \(20x-x^2\)
D. \(9\)
E. \(20\)
Answer: E
Source: GMAT Paper Tests
Since the area of region Q is x^2, the width of regions R and P is x. Since the area of region R is 5x, the length of R is 5x/x = 5, which is also one of the two dimensions of region S. Since the area of region P is 4x, the length of P is 4x/x = 4, which is also the other dimension of region S. Therefore, the area of region S is 5 * 4 = 20 sq. meters.
Answer: E
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