Question

find the area of the shaded portion ​

Answer 1

✅✅✅

AREA OF SQUARE = (SIDE) 2

(8)2

64 M2

Answer 2

$\large\underline{ \underline{ \text{Question:}}}$

• In the Attachment.

$\large\underline{ \underline{ \text{Solution:}}}$

First Let us find the Area of outer square as,

$\implies \text{Area}_{(\text{Outer Square})} = {(\text{Side})}^{2}$

$\implies \text{Area}_{(\text{Outer Square})} = {(8m)}^{2}$

$\implies \text{Area}_{(\text{Outer Square})} = 8m \times 8m$

$\implies \boxed{\text{Area}_{(\text{Outer Square})} = 64 {m}^{2}}$

Let us find the Area of Inner square as,

$\implies \text{Area}_{(\text{Inner Square})} = {(\text{Side})}^{2}$

$\implies \text{Area}_{(\text{Inner Square})} = {(4m)}^{2}$

$\implies \text{Area}_{(\text{Inner Square})} = 4m \times 4m$

$\implies \boxed{\text{Area}_{(\text{Inner Square})} = 16 {m}^{2}}$

According to given figure,

$\implies \text{Area}_{(\text{Shaded Region})} = \text{Area}_{(\text{Outer Square})} - \text{Area}_{(\text{Inner Square})}$

$\implies \text{Area}_{(\text{Shaded Region})} = 64 {m}^{2} - 16 {m}^{2}$

$\implies \boxed{\text{Area}_{(\text{Shaded Region})} = 48 {m}^{2}}$

$\large\underline{ \underline{ \text{Required Answer:}}}$

• The Area of Shaded Region is 48m².