Question

The area of a kite is 51.68 square inches. One diagonal measures 15.2 inches. What is the measure of the other diagonal?

A) 3.4 inches
B) 6.8 inches
C) 13.6 inches
D) 15.2 inches

Answer 1

the answere is (B) OPTION (2)

Explanation:

Answer 2

we know that

The area of a Kite is equal to

`A=(1)/(2)(D1*D2)`

where

D1 and D2 are the diagonals of the kite

In this problem we have

`A=51.68\ in^(2)`

`D1=15.2\ in`

Substitute in the formula and solve for D2

`51.68=(1)/(2)(15.2*D2)`

`103.36=(15.2*D2)`

`D2=103.36/15.2`

`D2=6.8\ in`

therefore

the answer is the option B

`6.8\ in`