Question 909365
if the ratio of length to width is 5/3, then you get the following:


L/W = 5/3, where L stands for length and W stands for width.


solve for L to get L = 5W/3


The area of the rectangle is equal to 240.


formula for area is L*W = A


formula becomes L*W = 240


replace L with 5W/3 to get:


5W/3*W = 240


simplify to get 5W^2/3 = 240


multiply both sides of equation by 3 to get:


5W^2 = 240*3


divide both sides of equation by 5 to get:


W^2 = 240*3/5


simplify to get W^2 = 144


take the square root of both sides of equation to get W = 12


In equation of L = 5W/3, replace W with 12 to get:


L = 5*12/3


solve for L to get L = 20


you have L = 20 and W = 12


10*12 = 240 so the numbers are good because you know the area is 240.


you want to find the perimeter.


perimeter = 2L + 2W which becomes 2*20 + 2*12 which becomes 40 + 24 which becomes 64.


That's your solution.


Perimeter = 64 units.