Home » In the figure, PQ\SR, ST\, ST\RQ, PS = 7cm, PT = 7cm, SR = 4cm….

In the figure, PQ\SR, ST\, ST\RQ, PS = 7cm, PT = 7cm, SR = 4cm….

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