A rectangles length is 1.25 times it’s width. It’s perimeter is 3 times the length plus one. What are the dimensions of the rectangle

Answer 1

(w+1.25w)2=3*1.25w+1

2w+2.5w=3.75w+1

4.5w=3.75w+1

.75w=1

w=1.33.........

l=1.66...........

Answer 2

Let "L" be the length of the rectangle, let "W" be the width, and let "P" be the perimeter. So, P = 2W + 2L

"A rectangles length is 1.25 times it’s width" means L = 1.25W or W = L/1.25

Using W = L/1.25 and substituting "L/1.25" where we se "W" in the perimeter equation P = 2W + 2L, we get P = 2(L/1.25) + 2L or

P = 1.6L + 2L or

P = 3.6L

"It’s perimeter is 3 times the length plus one" means P = 3L + 1

Substituting "3.6L" for "P" we get:

3.6L = 3L + 1

0.6L = 1

L = 5/3

Using W = L/1.25, we get W = 4/3