Q:

Please explain your answer. Thank you.

Accepted Solution

A:
Answer:CStep-by-step explanation:Let length of rectangle be "l"Let width of rectangle be "w"We know,LENGTH is 2 MORE THAN WIDTH, we can write:l = w + 2Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:length + width + length + widthNow,The perimeter is given as 72, so we can write:l + l + w + w = 722l + 2w = 72We have 2 equations that we need to solve and find the length (l).The first equation is:l = w + 2Rearranging, we have:w = l - 2We put this into 2nd equation and find the value of l:[tex]2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19[/tex]The length is 19 meters, the correct answer is C