Question

The area of a kite is 3 ft.². If the tail is to be 3 times longer than the kites long diagonal, and the short diagonal measures 2 feet, how long should the kite tail be?

Answer 1

Answer:

9 feet

Step-by-step explanation:

Given: area of kite= 3 ft²

          Tail= 3 times longer than the kites long diagonal.

          Measures of short diagonal(d_2)= 2 feet

Let´s assume the measure of long diagonal (d_1) be "x"

Formula; Area of kite= $\frac{d_1\times d_2}{2}$

⇒ $3= \frac{x\times 2}{2}$

∴$x= 3\ feet$

Hence, measure of long diagonal is 3 feet.

Now, finding the length of kite tail.

as given tail is to be 3 times longer than the kites long diagonal.

Length of kite´s tail= $3\times 3$

∴ Length of kite´s tail= $9\ feet$

Hence, 9 feet long should be the kite tail.