Problema Solution
A rectangle is 5 meters longer than it is wide. If its length is increased by 1 meter and its width is increased by 1 meter, the area is increased by 14m. find the original dimensions.
Answer provided by our tutors
let
x = the original width, x>0
x + 5 = the original length
A = x(x + 5) the area of the original rectangle
x + 1 = the new width
x + 5 + 1 = x + 6 = the new length
A1 = (x + 1)(x + 6) the area of the new rectangle
A1 = A + 14
(x + 1)(x + 6) = x(x + 5) + 14
by solving we find:
x = 4 m
click here to see the step by step solution of the equation:
4 + 5 = 9 m
the original dimensions are 4 meters and 9 meters.