Chapter 11, Problem 7MCQ

To determine

To find: How long should the kite tail be?

Answer to Problem 7MCQ

The kite tail should be $12\text{ft}$ .

Explanation of Solution

Given information:$$

Travis and Colleen bought a kite to fly. The area of the kite is $4$ sq ft. The directions to make the tail $3$ times longer than the long diagonal. The short diagonal measures $2$ ft.

Surface area of the rhombus,

  $\begin{array}{c}A=\frac{pq}{2}\to p\text{and }q\text{ are diagonals, A is the area}\\ 4=\frac{2\times q}{2}\\ 4=\frac{2q}{2}\\ 4=q\to \text{length of the longer diagonal}\\ \text{Tail length}=\text{3}\times \text{4}\\ =\text{12}\text{ft}\end{array}$

Therefore the kite tail should be $12\text{ft}$ .