Answer:
The length is 34 and the width is 8
Step-by-step explanation:
Let w represent the width and let the length be represented by (3w + 10)
Use the perimeter formula, P = 2l + 2w
Plug in the perimeter, w, and the expression for the length:
P = 2l + 2w
84 = 2(3w + 10) + 2w
Solve for w:
84 = 2(3w + 10) + 2w
84 = 6w + 20 + 2w
84 = 8w + 20
64 = 8w
8 = w
Plug in 8 as w into the expression for the length to find the length:
3w + 10
3(8) + 10
24 + 10
= 34
So, the length is 34 and the width is 8
