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The width of a rectangle is 4 in. longer than its length.
The area of the rectangle is 77 in?.
What is the length of the rectangle?
.

length of a rectangle =  l = 7 in

Step-by-step explanation:

Let,

width of a rectangle = w

length of a rectangle = l

Area = A = 77 in

A = w×l > (equation 1)

According to given condition:

w = l + 4   put in (equation 1)

equation 1 ⇒ A =  (l + 4)×l

77 =  (l + 4)×l

77 =  l² + 4l

l² + 4l -77 = 0

l² + 11l - 7l -77 = 0

(l² + 11l) - (7l + 77) = 0

l(l + 11) - 7(l + 11) = 0

(l + 11) (l - 7) = 0

(l + 11) = 0    or    (l - 7) =0

l  = -11          or    l  =7

as length is always positive, therefore

length of a rectangle =  l = 7 in

w = l + 4

w = 7 + 4

width of a rectangle = w = 11 in

correct answer is c. just did it

step-by-step explanation: