Question

The perimeter of two Squares are 2m and 2.8m. Find the perimeter of a square whose area is equal to the sum of areas of these two Squares

Answer 1

2 m is equal to 200 cm

2.8 m is equal to 280 cm

Perimeter of square = 4 x side

side of first square = 200/4 = 50 cm

side of second square = 280 /4 = 70 cm

Area of square = 2500 and 4900

sum of area = 2500 + 4900 = 7400

side of area = √7400 = 86.023

perimeter = 4 x 86.023 = 344.092 cm

Answer 2

perimeter of 1 st square = 2 m

Let A is side of square then,

4xA= 2

A= 2/4= 0.5 m

Area of 1st Square= 0.5x0.5= 0.25 sq. m

perimeter of 2nd square= 2.8 m

Let B is side of Square then,

4xB= 2.8

B= 2.8/4= 0.7 m

Area of 2nd Square= BxB= 0.7x0.7= 0.49 Sq.m

Total Area= area of 1st + area of 2nd= 0.25+ 0.49

= 0.74 Sq. M

Let Side of New Square as C

Then, CxC= 0.74 sq. m

C= Sq root of 0.74 =0.86 m

Perimeter= 4x0.86= 3.44 m

Answer is 3.44 m