Question

the area of a square is same as the area of a. rhombus whose diagnols measure 10 cm and 20 cm find the perimeter of the square explain step by step​

Answer 1

Answer:

40 cm

Step-by-step explanation:

Given: Area of rhombus = Area of square

diagonal 1 = 10 cm

diagonal 2 = 20 cm

To find: Perimeter of square

Solution:

Area of rhombus = 1/2 × (product of 2 diagonals)

A = 1/2 × 20 × 10

A = 100 cm²

Since area of rhomubus = area of square (given)

Area of square = 100 cm²

Area of square = side²

100 = side²

side = 10 cm

Perimeter of square = 4 × side

Perimeter = 4 × 10

Perimeter = 40 cm

Ans: Perimeter of the square is 40 cm.

Hope this helps!