The dimensions of a rectangular garden were 5m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m^2. Find the dimensions of the new garden.

Here is the set up:

We know the given dimensions are increased by the same number.

Let x be that number.

The garden is a rectangle.

Area = length times width.

5m = 5 meters

12m = 12 meters

Area is 120 meters^2.

Here is your equation:

120 = (5 + x) (12 + x)

Take it from here.