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?

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=

⇒

∴

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=

∴ Length of kite´s tail=

Hence, 9 feet long should be the kite tail.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.