In the diagram, PQUV, PQTU, QRTU and QRST are parallelograms. |UV| = 4.8cm and the perpendicular distance between PR and VS is 5cm. Calculate the area of quadrilateral PRSV
A. 96cm2 B. 72cm2 C. 60cm2 D. 24cm2
Correct Answer: C
Explanation
|VU| = |UT| = |TS| |VS| = (4.8) x 3 = 14.4cm |PQ| = |QR| = 4.8 |PR| = (4.8) x 2 = 9.6cm Since quad. PRSV is a trapezium of height 5cm Area of quad. PRSV = \(\frac{1}{2}(a + b)h\) = \(\frac{1}{2}(14.4 + 9.6) \times 5\) = \(\frac{1}{2}(24) \times 5\) 12 x 5 = 60cm2
