Answer:
Width = 7units
Step-by-step explanation:
The area of a rectangle
A = h * w
A - area of a rectangle
h - height of a rectangle
w - width of a rectangle
Or
A = length * breadth
It's all the same
Given :
h = 1 + w
w = w
A = 56
56 = ( 1 + w) * w
56 = ( 1 + w)w
56 = w + w^2
56 = w^2 + w
w^2 + w - 56 = 0
Find a factor that can be multiplied to give -56
and added to give + 1
The factor is 8 and -7
Substitute 8w - 7w for w
w^2 + 8w - 7w - 56 = 0
( w^2 + 8w) - (7w - 56) = 0
w( w + 8) - 7( w + 8) = 0
( w - 7) = 0
( w + 8) =0
w - 7 = 0
w = 7
w + 8 = 0
w = -8
Since a side of any rectangle can not be negative
w = 7
The width of the rectangle is 7units
The length of the rectangle is 1 + w = 1 + 7 = 8units
