Question

Calculate the length of the diagonal of a square if the area of the square is $32 cm^2$.

• A. 8 cm
• B. 16 cm
• C. 4 cm
• D. 12 cm

Answer 1

Answer:

A. 8 cm

Given:

Area of square = 32 cm²

Formula Used:

Area = (side)²

Diagonal = √2 × side

Calculation:

Let, length of side of the square be x

According to the question,

⇒ x² = 32

⇒ x = √32

⇒ x = 4√2

Diagonal = 4√2 $\times$ √2 = 8 cm

∴ Length of the diagonals are 8 cm.