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Two opposite sides of a rectangle are (5x + 3) m and (2x + 9)...

Mathematics
WAEC 2024

Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m\(^2\), the area of the rectangle.

  • A. 45
  • B. 65
  • C. 125
  • D. 165
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Correct Answer: Option B
Explanation

Opposite sides of a rectangle are equal, then (5x + 3) = (2x + 9)

5x - 2x = 9 - 3 

3x = 6 

x = \(\frac{6}{3}\) = 2.

Put x = 2 in either (5x + 3) or (2x + 9) = 13m

Adjacent side (6x - 7) (given) also put x = 2 into it, 6(2) - 7 = 5 

Area of rectangle = length x breadth(width) = 13 x 5 = 65 m\(^2\)


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