Question

The area of a kite is 116.25 ft2, one diagonal measures 18.6 ft, find the measure of the other diagonal.

6.25 ft
12.5 ft
3.125 ft
25 ft

Answer 1

The answer is 12.5 feet

Explanation:

A kite is in the shape of a Rhombus.

The surface of a Rhombus is calculated using the following formula:

`A=p*q/2`

A is the surface and we know it's 116.25 ft2

p is one diagonal and we know it's 18.6 ft

q is the diagonal we do not know

So, we get:

`116.25=18.6*q/2`

we can then calculate

`2*116.25=18.6*q`

that is:

`232.50=18.6*q`

therefore the other diagonal q is:

q=232.50/18.6

q=12.5