Carcass wrote:
Attachment:
#greprepclub In the figure shown.jpg
In the figure shown, \(PQRS\) is a square, \(T\) is the midpoint of side \(PS\), and \(U\) is the midpoint of side \(QR\). The area of the shaded region is what fraction of the area of square \( PQRS\) ?
A. \(\frac{1}{6
}\)
B. \(\frac{1}{8}\)
C. \(\frac{1}{5}\)
D. \(\frac{1}{4}\)
E. \(\frac{1}{3}\)
Kudos for the right answer and solution.
Let's say that each side of the square has length
2Which means its area = (
2)(
2) =
4Since T and U are midpoints, we get the following measurements:
Since URPT is a parallelogram, its area = (base)(height) = (
1)(
2) =
2Since the blue line divides parallelogram URPT into 2 EQUAL pieces, the area of the shaded region = 1/2 of
2, which is
1The area of the shaded region is what fraction of the area of square PQRS?Fraction =
1/
4Answer: D
Cheers,
Brent
_________________
Brent Hanneson - founder of Greenlight Test Prep