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: Option 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