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WAEC Mathematics 1998 Question 42

Question 42

Mensuration of Plane Shapes

The diagram below is a rectangle. If the perimeter is 36m, find the area of the rectangle.

Diagram for this question
  1. A.64m2
  2. B.65m2
  3. C.84m2
  4. D.124m2
  5. E.275m2
Show the answer and explanation

Answer: B (65m2)

Explanation

2[(2x + 5) + (x + 1)] = 36 gives 3x + 6 = 18, x = 4. The sides are 13 m and 5 m, so the area is 65 m2.