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Question 13

Video explanation ↓

The figure is made up identical rectangles PQRS and SRTU and identical triangles VRW and WRX. The perimeter of the shaded part VRXW is 84 cm and PS = WR. The perimeter of triangle VRW is 2/3 of the perimeter of shaded part VRXW. What is the area of the shaded part? (4 marks)

Question 13 diagram

Answer: 196 cm²

Workings

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VRXW → 84 cm

" The perimeter of triangle VRW is 2/3 of the perimeter of shaded part VRXW. "

▵ VRW → 2/3 of VRXW = 2/3 x 84 = 56

1 fin + 1WR = 56 2 fin + 2WR = 56 x 2 = 112 2 fin = 84

2WR = 112 - 84 = 28 1WR = 28 ÷ 2 = 14

area of shaded part → 2 x shaded triangle

shaded triangle → 1/2 x base x height = 1/2 x 14 x 14 = 98

area of shaded part → 2 x shaded triangle = 2 x 98 = 196 cm²

Video explanations

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