Question

In the figure shows here, the side of lauge square
is 2a units and that the smaller
square
units find area of the shaded area

​

Answer 1

Answer:

area of larger square= 2a×2a=4a^2

area of smaller square = a×a= a^2

area of shaded portion is area of larger square - area of smaller square = 4a^2-a^2

=3a^2

Answer 2

GIVEN:

• Side of larger square = 2a units
• Side of smaller square = a units

TO FIND:

• Find the area of shaded reason ?

SOLUTION:

We have given that the side of the larger square and smaller square is 2a and a respectively.

✒To find the area of the square, we use the formula:-

$\large\rm\red{\star \: Area \: of \: square = a^2 \: \star }$

Area of larger square:-

$\sf{\mapsto Area \:of \: larger\: square = (2a)^2}$

$\sf\red{\mapsto\: \star\:Area \:of \: larger\: square = 4a^2\: \star}$

❛ Area of larger square = 4a² ❜ 

Area of smaller square:-

$\sf{\mapsto Area \:of \: smaller\: square = (a)^2}$

$\sf\red{\mapsto\: \star Area \:of \: smaller\: square = a^2\: \star}$

❛ Area of smaller square = a² ❜ 

Area of shaded region = (Area of larger square – Area of smaller square)

$\sf{\implies\: Area \: of\: shaded\: region = 4a^2 - a^2 }$

$\large\sf\red{\implies = \star\: Area \:of \:shaded\: \:region = 3a^2 \: \star }$

❛ Hence, the area of the shaded region is 3a² ❜ 

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