Question

ABCD IS A RECTANGLE CALCULATE THE AREA OF SHADED PORTION​

Answer 1

Answer:

220cm²

Step-by-step explanation:

Given:-

ABCD is a rectangle.

Length= 20cm

Breadth= 15cm

Area of rectangle= L×B

20cm×15cm

300cm²

(Hypo)²= (QT)²+(TS)²

(QS)² = (6)²+(8)²

(QS)²= 36+64

(QS)²= 100

QS= √100

QS= 10

In The given Quadrilateral PQRS,

PR= QS= 10cm

PQ= RS= 8cm

Area of rectangle PQRS= Length×Breadth

Area = 10×8

Area = 80cm²

Therefore, The Area of shaded portion= Area of Rectangle ABCD - Area of Rectangle PQRS

Shaded portion= 300cm²-80cm²

Shaded portion= 220cm²

Therefore, The Area of the shaded portion is 220 cm².