Question

One diagonal of a kite is twice as long as the other diagonal. If the area of the kite is 400 square meters, what are the lengths of the diagonals?

Answer 1

Answer:

20m and 40m

Step-by-step explanation:

The area (A) of a kite is calculated using the formula

A = $\frac{1}{2}$ product of diagonals

Let one diagonal be d then the other diagonal is 2d ( twice as long )

Hence

$\frac{1}{2}$ × 2d × d = 400

d² = 400 ← take the square root of both sides

d = $\sqrt{400}$ = 20

and 2d = 2 × 20 = 40

The diagonals are 20m and 40m in length