Question

NEED ANSWER!! WILL GIVE BRAINLIEST TO FIRST CORRECT

Answer 1

Area of the square DKIL = 25 square units

Solution:

In the given image A, B, C, D and E lie on the circle.

Point I is the common vertex of four squares.

Area of ABIG = 144 square units

Area of MEIH = 100 square units

We know that area of square = side × side

Area of MEIH = 100  square units

Side IE × Side IE = 100

$(IE)^{2}=100$

Taking square root on both sides

IE = 10 units

$I L=\frac{1}{2} \times I E$

$I L=\frac{1}{2} \times 10$

IL = 5 units

In a square all sides are equal.

Therefore, IL = LD = DK = IK = 5 units

area of square = side × side

area of square DKIL = IL × IL

                                   = 5 × 5

area of square DKIL = 25 square units

Hence, area of the square DKIL is 25 square units.