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In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...

Mathematics
JAMB 1987

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h.

  • A. 12cm
  • B. 10cm
  • C. 8cm
  • D. 5cm
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Correct Answer: Option D
Explanation

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = \(\frac{80}{16}\)

= 5cm


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