Question

The length of a rectangle is 3 less than twice the width. If the perimeter is 18 cm, what is the area? Show your work and solve using either substitution or elimination.

Answer 1

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as

L = 2W + 3

where "twice the width" is 2W and "three more" is just adding 3.

2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

P = 2W + 2L

set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve