Question

In the figure ABCD and BEFG are two squares with side lengths 4 cm and 10 cm respectively. The area of the shaded region (in cm2) is​

Answer 1

Given : ABCD and BEFG are two squares with side lengths 4 cm and 10 cm respectively

To Find : The area of the shaded region (in cm²)

Solution:

ABCD & BEFG are square

=> ∠B  = ∠E = 90°

∠BAP = ∠EAF  ( common)

=> Δ ABP ≈ Δ AEF

=> AB/ AE =  BP/EF

AB = 4  cm

AE = AB + BE = 4 + 10  = 14  cm

EF = 10  cm

=> 4/14 = BP/10

=> BP = 40/14  = 20/7 cm

Area of shaded region = (1/2) * AB  * BP

= (1/2) 4 * 20/7

= 40/7

=  5.714  cm²

Learn More:

Find the area of the shaded region if the radius of each of the circles is

https://brainly.in/question/5080554

find the area of the shaded region if PAST is square of side 14cm ...

https://brainly.in/question/7353537