Question

The length of a room is 8 ft greater than it is width. If each dimension is

increased by 2 ft, the area will be increased by 60 sq. ft. Find the dimensions of
the rooms.

Answer 1

Let width be equal to 'x'

Length = x + 8

Old area = x(x+8)

Now, dimension increases

Length = (x+10)

width = x + 2

New area = (x+2)(x+10)

New area- old area = 60

((x+2)(x+10)) - ( x(x+8))= 60

4x + 20 = 60

4x = 40

x = 10 ft

Length of original room = 10+8 = 18 ft

Width of original room = 10 ft.

Length of increased dimension = 18 +2 = 20 ft

Width of increased dimension = 10 +2 = 12 ft.