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In the figure, PS = 7cm and RY = 9cm. IF the area of paralle...
In the figure, PS = 7cm and RY = 9cm. IF the area of parallelogram PQRS is 56cm2. Find the area of trapezium PQTS

In the figure, PS = 7cm and RY = 9cm. IF the area of parallelogram PQRS is 56cm2. Find the area of trapezium PQTS

A.

56cm2

B.

112cm2

C.

120cm2

D.

176cm2

Correct answer is C

From the figure, PS = QR = YT = 7cm

Area of parallelogram PQRS = 56cm

56 = base x height, where base = 7

7 x h = 56cm,

h = 567

= 8cm

Area of trapezium 12 (sum of two sides)x height where two sides are QT and PS but QT = QR + RY + YT = 7 +9 + 7 = 23cm

Area of trapezium PQTS = 12(23 + 7) x 8

12 x 30 x 8 = 120cmsq