Sum

In each of the following cases, ABCD is a square and PQRS is a rectangle. Find, in each case, the area of the shaded portion.

(All measurements are in metre).

(i)

(ii)

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#### Solution

**(i) **

Area of the shaded portion

= Area of the rectangle PQRS – Area of square ABCD

= 3.2 x 1.8 – (1.4)^{2} (∵ PQ = 3.2 and PS = 1.8) Side of square AB = 1.4

= 5.76 – 1.96 = 3.80 = 3.8 m^{2}

**(ii) **

Area of the shaded portion = Area of square ABCD – Area of rectangle PQRS

= 6 x 6 – (3.6) (4.8) = 36 – 17.28 = 18.72 m^{2}

Concept: Perimeter of a Rectangle

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