Question

one side of a rectangle is three yards longer than twice the length of another side. if the perimeter is 27 yards, what is the length of the longer side

Answer 1

Answer:

This is a problem where you have to set up two equations, then solve them using elimination or substitution.

Let L = length and W = width.

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

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

You would then use either substitution or elimination techniques to solve for the actual values of W and L. I'll give you a chance to do that on your own