Respuesta :
Answer:
5 ft and 11 ft
Step-by-step explanation:
l= 2w+1
A=lw= 55
w(2w+1)=55
2w²+w-55=0
integer solution of quadratic equation is:
w=5 ft
l= 2*5+1=11 ft
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