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

Assessment: JAMB UTME - Mathematics - 1988 Subject: General Mathematics

Question 1 Report

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

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

Area of parallelogram PQRS = 56cm

56 = base x height, where base = 7

7 x h = 56cm,

h =  56 7

= 8cm

Area of trapezium  1 2  (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 =  1 2 (23 + 7) x 8

1 2  x 30 x 8 = 120cmsq

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