Question

for each of these, find the area of the shaded square​

Answer 1

Step-by-step explanation:

Let the side of square with area 64cm^2 area x and side of square of 36cm^2 area y.

x^2=64

x=√64

x=8 cm

y^2=36

y=√36

y=6 cm

In the right triangle present in the figure,

Let the third side be z.

Using Pythagoras theorem,

(x)^2 + (y)^2 = (z)^2

(8)^2 + (6)^2 = z^2

64 + 36 = z^2

100 = z^2

10 cm = z

Now, the shaded region is a square so finding the area of the shaded region

a^2 = 10^2

100 cm^2

Hence, the area of the shaded region is 100 cm^2.