Maths-
General
Easy

Question

In the figure, ABCD is a rectangle and PQRS is a square. Find the area of the shaded portion.

The correct answer is: Area of the shaded portion is 275 cm2


    Hint:-
    Area of shaded portion = Area of rectangle ABCD - Area of rectangle PQRS
    Step-by-step solution:-
    we can see from the diagram that the Area of shaded portion can be calculated by-
    Step- 1: Finding the area of rectangle ABCD (with length = 20 cm & breadth = 15 cm) and
    Step- 2: Subtracting the area of square PQRS (with side = 5 cm) from it.
    ∴ Area of shaded portion = Area of rectangle ABCD - Area of rectangle PQRS
    ∴ Area of shaded portion = length × breadth - (side)2
    ∴ Area of shaded portion = (20 × 15) - 52
    ∴ Area of shaded portion = 300 - 25
    ∴ Area of shaded portion = 275 cm2
    Final Answer:-
    ∴ Area of the shaded portion is 275 cm2

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