Answer:
The length is 16 and the width is 19.
Step-by-step explanation:
We'll represent width with the letter w, and length with l.
w = l + 3
The perimeter is all four sides, so perimeter = 70ft = (2w) + (2l)
We will replace w with l + 3.
70 = 2(l + 3) + (2l)
2 (l + 3) = (l + 3) + (l + 3)
and 2l = l + l, so
70 = l + 3 + l + 3 + l + l = 4l + 6
We subtract 6 from both sides.
64 = 4l
then we divide both sides by 4
16 = l
Remember width = length + 3, so
16 + 3 = w
19 = w
Just to check:
2(length) + 2(width) = perimeter
2(16) + 2(19) = 70
32 + 38 = 70
