In the figure, PQST is a parallelogram and TSR is a straight line. If the area of △ △ QRS is 20cm2, find the area of the trapezium PQRT.

Assessment: JAMB UTME - Mathematics - 1998 Subject: General Mathematics

Question 1 Report

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of $△$ QRS is 20cm2, find the area of the trapezium PQRT.

35cm2

65cm2

70cm2

140cm2

Answer Details

A $△$ = $\frac{1}{2}$ x 8 x h = 20

= $\frac{1}{2}$ x 8 x h = 4h

h = $\frac{20}{4}$

= 5cm

A $△$ (PQTS) = L x H

A $△$ PQRT = A $△$ QSR + A $△$ PQTS

20 + 50 = 70cm2

ALTERNATIVE METHOD

A $△$ PQRT = $\frac{1}{2}$ x 5 x 28

= 70cm2

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