Answer: Choice C
168 square cm
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Explanation:
Segment SQ is the result of adding the pieces ST and TQ together
SQ = ST + TQ
SQ = 12.5 + 12.5
SQ = 25
This is the hypotenuse of the right triangle PQS. The diagram shows that the vertical leg of this right triangle is PS = 7.
Use the pythagorean theorem to find the horizontal leg PQ.
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 625 - 49
b^2 = 576
b = sqrt(576)
b = 24
Side PQ is 24 inches long.
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We then multiply the length and width of the rectangle to find its area.
area = length*width
area = PS*PQ
area = 7*24
area = 168 square cm
