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

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
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