The area of rectangle ABCD is 10 cm2 and that of the shaded region is 20 cm2. The breadth of the rectangle PQRS is 5 cm. Find the perimeter of the rectangle PQRS.
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Solution
Area of PQRS = Area of ABCD + Aea of shaded region
= (10 + 20) cm2
= 30 cm2
Area of rectangle PQRS = 30 cm2
and its breadth = 5 cm
We know that,
Area of a rectangle = Length x breadth
So, Length of PQRS = AreaBreadth
= 305=6cm
Perimeter of rectangle PQRS
= 2×(length + breadth)
= 2 x (6+5)
= 2 x 11
= 22 cm