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.
Attached Figure / Diagram
A
56.77
B
56.105
C
28:105
D
28:49
E
56:49
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32744)