Question

The length of a rectangle is 8 inches more than three times the width. the perimeter is 88 inches. find the length and width.

Answer 1

We can say L as length and W as the width 

L= 3w + 8 

The formula for perimeter is 2L + 2W = P. We can substitute L in as "3w+8" to make the equation... 

2(3w+8)+2w=88        Now, we can simplify by distributing the 2 to each term
6w+16+2w=88
8w+16=88               Then subtract 16 from each side..
8w=72
w=9

So the width is 9, so we can substitue that into the previous equation, L = 3w+8. 

L=3(9)+8
L=27+8
L=35, W=9