Question 44
Mensuration of Plane ShapesIn the figure above, PQRS is a square of side 8cm. What is the area of ΔUVW?
- A.64sq. cm
- B.54sq. cm
- C.50sq. cm
- D.10sq. cm
Show the answer and explanation
Answer: D (10sq. cm)
Explanation
Take S as (0, 0): then U = (4, 8), V = (8, 2) and W = (6, 0). By the shoelace formula, area = ½|4(2 − 0) + 8(0 − 8) + 6(8 − 2)| = ½ × 20 = 10 sq. cm.