Question

Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.
A. W = 2p − 2l
B. W = p/ 2-2 times l
C. W = the quantity p + 2 times l/2
D. W = 2p + 2l

Answer 1

Answer:

  $W=\dfrac{P}{2}-L$

Step-by-step explanation:

  $P=2L+2W \qquad\text{given}\\\\P-2L=2W \qquad\text{subtract 2L }\\\\\dfrac{P-2L}{2}=W \qquad\text{divide by 2}\\\\W=\dfrac{P}{2}-L \qquad\text{carry out the division}$

This formula does not seem to be among the answer choices.

  W = (P/2) -L