Question

perimeter of two squares are 52m and 326m. find the length of the side of the square whose area is equal to the sum of the areas of the two squares

Answer 1

Square 1=52m(perimeter)
Therefore ...side=52/4=13cm
Area=side×side=13×13=169


Square 2=326m(perimeter)
Therefore side=81.5cm
Area=side×side=81.5×81.5=66,422.5

Now...area of bigger square=66,422.5+169
=66,591.5

Side of bigger square=(66,591.5)^1/2
=258 m

@skb

Answer 2

Find the length of the first square;

Perimeter = 4 x Length

52 = 4 x Length

Length = 52 ÷ 4

Length = 13 cm

Find the area of the first square:

Area = Length x Length

Area = 13 x 13

Area = 169 cm²

Find the length of the second square:

Perimeter = 4 x Length

326 = 4 x Length

Length 326 ÷ 4 = 81.5 cm

Find the area of the second square:

Area = Length x  Length

Area = 81.5 x 81.5

Area = 6642.25 cm²

Find the sum of the two area:

Total area = 169 + 6642.25 = 6811.25 m²

Find the length of the new square:

Area = Length x Length

Length² =  6811.25 m²

Length = √ 6811.25

Length = 82.53 cm

Answer: The length is 82.53 cm