Question

the perimeter of a rectangle can be found using the formula p = 2l+2w, where p is the perimeter, l is the length, and w is the width of the rectangle. can the perimeter of the rectangle be 62 units when its width is 12 units and its length is 18 units?
o a no, if the rectangle has l = 18 and w = 12, p would not equal 62.
o b no. the rectangle cannot have p = 62 and l = 18 because l + w is less than 24.
o c yes. the rectangle can have p = 62 and l = 18 because 62 = 24+18.
o d yes. the rectangle can have p = 62 and l = 18 because p = 2(18)+2(12) would equal 62.

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2L+2W$.

Step2: Substitute given values

Given $W = 12$ and $L = 18$, then $P=2\times18 + 2\times12=36 + 24=60$.

Answer:

D. Yes. The rectangle can have $P = 60$ and $L = 18$ because $P=2(L)+2(W)$ would equal $60$.