Question

the diagonal of a square is 5√2cm.Find the area and perimeter​

Answer 1

Answer:

area = 1/2 × 5√2 × 5√2 = 25cm²

perimeter = 4 × 5 = 20cm

Step-by-step explanation:

a² + a² = (5√2)²

=> a² = 25

=> a = 5

area = 1/2 × product of diagonals

in square, area = a²

perimeter = 4 × a

Answer 2

Answer:

The area of the square is 25 $cm^{2}$ and the perimeter is 20 cm.

Step-by-step explanation:

Diagonal of square = 5$\sqrt{2}$ cm

∴ S$\sqrt{2}$ = 5$\sqrt{2}$

⇒ S = 5 cm

Perimeter = 4S = 20 cm

Area = $S^{2}$ = 25 $cm^{2}$