Question

Can you give me steps please :( . ps sorry for the bad handwriting

Answer 1

the perimeter is the sum of all 4 sides and is equal to 256. the rectangle has two, opposite sides of length w, and two opposite sides of length w+8. the Sum is thus w+w+w+8+w+8 or 4w+16=256
4w=240
w=60.
the garden is 60 by 68

BTW your handwriting is fine!!!

Answer 2

length (l): w + 8

width (w): w

Make 2l + 2w = 256 feet because there are 2 sides of widths and lengths and you are given the perimeter.

2(w + 8) + 2w = 256

Distribute 2 inside the parentheses.

2w + 16 + 2w = 256

Combine like terms.

4w + 16 = 256

Subtract 16 from both sides.

4w = 240

Divide both sides by 4.

w = 60

Plug w into the length.

length: w + 8 ⇒ 60 + 8 = 68

length: 68 feet, width: 60 feet