Answer:
width: 9 yards
length: 13 yards
Step-by-step explanation:
let's label our length as l and our width as w. We know that their sum is equal to 44 yards, which we can rewrite as
2l+2w = 44
We also know that the length is 5 yards less that double the width so we can say
l = 2w-5
Then we can substitute our value for l into our original equation
2(2w - 5) + 2w = 44
From there we can expand and solve for w
2(2w - 5) + 2w = 44
4w - 10 + 2w = 44
6w - 10 = 44
6w = 54
w = 9
Then we can plug our value for y back into one of our equations to solve for l
l = 2(9) - 5
= 18 - 5
=13
Answer: Length = 13 yards, width = 9 yards.
Step-by-step explanation: Because length is 5 yards less than double the width L = 2W - 5. The perimeter is P = 2L + 2W. We substitute our L value for the equation
2(2W-5) + 2W = 44 then we simplify
4W - 10 + 2w = 44 Add 10 to both sides
4W + 2W = 54 Add the W's
6W = 54 Then divide by 6 on both sides
W = 9
We can plug this into our original equation
L = 2(9) - 5
L = 18 - 5
L = 13
Then we can test this
2(13) + 2(9) = 44. Looks correct
