In the figure, PQ\SR, ST\, ST\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.
-
A.
56.77 -
B.
56.105 -
C.
28:105 -
D.
28:49 -
E.
56:49
Correct Answer: Option B
Explanation
Area of QRST = 4 x 7 = 28
Area of PQRS = (frac{1}{2})(4 + 11) x 7
= (frac{7}{2}) x (frac{15}{1})
= 28:52.5
= 56:105