Question

Please help question is in the picture.

Answer 1

Answer:

11 inches

Step-by-step explanation:

Given,

l = 8 + b ---> eq 1.

ar ( rectangle ) = 33 square inches

ar ( rectangle ) = l x b

33 = l x b

subs eq 1,

33 = ( 8 + b ) x b

33 = 8b + b^2

b^2 + 8b - 33 = 0

b^2 - 3b + 11b - 33 = 0

b ( b - 3 ) + 11 ( b - 3 ) = 0

( b - 3 ) ( b + 11 ) = 0

b - 3 = 0

b = 3

b + 11 = 0

b = - 11

b cannot be - 11, as it is negative.

So, b = 3

ar ( rectangle ) = l x b

33 = l x 3

l = 33 / 3

length ( l ) = 11 inches