Question

in the given figure, find the area
Shaded region and you un
should be
496 Sq cm
24 cm
​

Answer 1

Answer:

496 sq cm

Step-by-step explanation:

area of outer square = 24×24 = 576 sq cm

area of inner rectangle= 16×5 = 80 sq cm

area of shaded region

= area of outer square-area of inner rectangle

= 576-80

= 496 sq cm

Answer 2

Answer:

Area of the shaded region = 496 cm²

Step-by-step explanation:

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,4.5){\bf\large 24\ cm}\put(-1.4,2){\bf \large 24\ cm}\put(1,1){\line(1,0){2}}\put(1,1){\line(0,1){2}}\put(1,3){\line(1,0){2}}\put(3,3){\line(0,-1){2}}\put(1.5,3.1){\Large \sf 16 cm}\put(3.1,2){\Large \sf 5 cm}\put(1.2,1.2){\bf P}\put(1.2,2.5){\bf Q}\put(2.5,2.5){\bf R}\put(2.5,1.2){\bf S}\end{picture}$

Given :

• ABCD is a square whose side is 24 cm

• PQRS is a rectangle whose length is 16 cm and breadth is 5 cm

To find :

the area of the shaded region

Solution :

First we have to find the area of the square and then the area of the rectangle. Subtracting the area of rectangle from area of the square gives us the area of the shaded region.

Area of the square :

side = 24 cm

➙ Area = side × side

➙ Area = 24 cm × 24 cm

➙ Area = 576 cm²

Area of the rectangle :

length = 16 cm

breadth = 5 cm

➙ Area = length × breadth

➙ Area = 16 cm × 5 cm

➙ Area = 80 cm²

Area of the shaded region :

➙ Area of the shaded region = Area of the square - area of the rectangle

➙ Area of the shaded region = 576 cm² - 80 cm²

➙ Area of the shaded region = 496 cm²