Hi,

     .

x the width

(4w)w = 144ft^2

 w^2 = 36 (Tossing out the negative solution for unit measure)

 w = 6ft and L = 24ft

P = 12ft + 48ft = 60ft 

Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
 Let L = the length of the rectangle

Let W = the Width of the rectangle

The equation for the Area of a rectangle is A = L x W

The equation for the perimeter of a rectangle is P = 2L + 2W

-----------------------

Equation 1: 

Equation 2:  (The rectangle is 4 times as long as it is wide)

Equation 3: 

Note that equation 2 is already solved for L.

Plug (4W) into equation 1 for L

Equation 1: 



Combine like terms



Divide both sides by 4



Take the square root of both sides





-----------------------

Now plug 6 into equation 2 for W

Equation 2: 





-----------------------

Now Plug L=24, and W=6 into equation 3

Equation 3: 



Simplify





The perimeter is 60ft 

RELATED QUESTIONS

A rectangle is 4 times as long as it is wide. The area is 144 square feet. What is the... (answered by josmiceli)

A rectangle is 4 times as long as it is wide. The area is 196 square feet. What is the... (answered by Simnepi)



 A rectangle is 4 times as long as it is wide. The area is 196 square feet. What is... (answered by checkley79)



A rectangle is 6 times as long as it is wide. The area is 54 square feet. What is the  (answered by checkley79)

A rectangle is 6 times as long as it is wide. The area is 150 square feet. What is the... (answered by ewatrrr,stanbon)

A rectangle is 7 times as long as it is wide. The area is 252 square feet. What is the... (answered by ewatrrr)

A rectangle is 6 times as long as it is wide. The area is 96 square feet. What is the... (answered by Alan3354,stanbon)

a rectangle is three times as long as it is wide. The perimeter is 144 feet. Find the... (answered by josgarithmetic)

A rectangle is 5 times as long as it is wide. If the area is 80 square feet, what is the... (answered by greenestamps)