Answer:
32 feet
Step-by-step explanation:
Start by creating your 2 equations
l = 2w + 1
l * w = 55
Plug in l, the isolated variable
(1 + 2w)w = 55
w + 2w² = 55
2w² + w -55 = 0
(
−
5
)
(
2
+
1
1
) = 0
w= 5
w= -11/2 <- the width can't be negative so this one is out
Plug width into the area formula to find length
l * 5 = 55
l = 11
Find the Perimeter
2(11) + 2(5)
22 + 10 = 32
