Maths-

General

Easy

Question

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

Hint:

### Area of shaded portion = Area of rectangles ABCD - Area of rectangles PQRS

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

### 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 rectangles ABCD - Area of □ 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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