the lenght of a rectangle exceeds its width by 7 m. if the width is decreased by 3m and the length decreasesd by 10 m the area is decreased by 95 sq. metres find the dimensions of the rectangle.

Answer 1

now:
width --- x
length -- x+7

after change:
width = x-3
length = x+7 - 10 = x-3
(notice the new rectangle is now a square)

original area = x(x+7)
new area = (x-3)(x-3)
the difference is 95 , so ....

x(x+7) - (x-3)^2 = 95
x^2 + 7x - (x^2 - 6x + 9) = 95

carry on, it is easy

Answer 2

Width = 8 m
Length= 15 m
Area = 120 sq m