Question

Find the length of the diagonal of a square of area 200 cm square

Answer 1

given :-

area of the square = 200cm²

we know the formula to find the area of a square, that's side²

so we can say,

➡ side² = 200cm² -------(i)

now, we know that all sides of a square are equal.

therefore by Pythagoras theorem we get,

➡ diagonal² = side² + side² -------(ii)

putting value of side² from equation (i) in equation (ii)

➡ diagonal² = 200 + 200

➡ diagonal² = 400

➡ diagonal = √400

➡ diagonal = 20cm

hence, the diagonal of the square is 20cm.

Answer 2

Answer

Area = Side^2

.°. Side^2 = 200 cm

Diagonal^2 = 2 × Side^2

=> Diagonal^2 = 2 × 200

Diagonal^2 = 400 cm

Diagonal = 20 cm