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The perimeter of a rectangular garden is 90 m. If the width is 7 m...

Mathematics
WAEC 2024

The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.

  • A. 19 m
  • B. 23 m
  • C. 24 m
  • D. 26 m
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Correct Answer: Option D
Explanation

Let the length of the garden be x, then, the width = x - 7

perimeter of rectangle = 2(L + B) = 90 m 

= 2(x + x - 7) = 90

= 2x - 7 = 45 ( after dividing through by 2)

= 2x = 45 + 7 = 52

x = \(\frac{52}{2}\) = 26 m

Thus, the length of the rectangular garden = 26 m.


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