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?
3.4 inches
6.8 inches
13.6 inches
15.2 inches

Explanation:

Step1: Recall area formula for kite

The area formula of a kite is $A=\frac{1}{2}d_1d_2$, where $A$ is the area, $d_1$ and $d_2$ are the lengths of the diagonals.

Step2: Substitute known values

We know that $A = 51.68$ square - inches and $d_1=15.2$ inches. Substituting into the formula gives $51.68=\frac{1}{2}\times15.2\times d_2$.

Step3: Solve for $d_2$

First, simplify the right - hand side: $\frac{1}{2}\times15.2 = 7.6$. So the equation becomes $51.68 = 7.6d_2$. Then, divide both sides by 7.6: $d_2=\frac{51.68}{7.6}=6.8$ inches.

Answer:

B. 6.8 inches