Question

questions is
Find the area of shaded portion​

Answer 1

Answer:

84 m²

Step-by-step explanation:

Shaded portion area= Outer - inner rectangle.

So, (24 × 20) - (22 × 18)

= 480 - 396

= 84 square metre

Answer 2

Answer :

The area of the shaded portion = 84 m²

Step-by-step explanation :

 $\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.5,0.5){\line(1,0){4}}\put(0.5,0.5){\line(0,1){2}}\put(0.5,2.5){\line(1,0){4}}\put(4.5,2.5){\line(0,-1){2}}\put(0,-0.5){\sf A}\put(5,-0.5){\sf D}\put(0,3.2){\sf B}\put(4.8,3.2){\sf C}\put(0.6,0.7){\sf P}\put(4.2,0.7){\sf S}\put(0.6,2.1){\sf Q}\put(4.2,2.1){\sf R}\put(2,3.3){\sf 24 m}\put(2,2.1){\sf 22 m}\put(0.7,1.5){\sf 18 m}\put(5.2,1.5){\sf 20 m}\end{picture}$

In the diagram,

AD = BC = 24 m

AB = CD = 20 m

PQ = RS = 18 m

QR = PS = 22 m

To find the area of the shaded region, first we have to find the area of rectangle ABCD and then the area of rectangle PQRS. After that, subtract the area of rectangle PQRS from area of rectangle ABCD.

Area of rectangle ABCD :

length = BC = 24 m

breadth = CD = 20 m

➙ Area = length × breadth

➙ Area = 24 m × 20 m

➙ Area = 480 m²

Area of rectangle PQRS :

length = QR = 22 m

breadth = PQ = 18 m

➙ Area = length × breadth

➙ Area = 22 m × 18 m

➙ Area = 396 m²

Area of the shaded portion :

Area of the shaded portion = Area of rectangle ABCD - Area of rectangle PQRS

Area of the shaded portion = 480 m² - 396 m²

Area of the shaded portion = 84 m²