Question on: WAEC Mathematics - 2006
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
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Correct Option: C
|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
|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
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