Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is 294 square meters.

Question

Find the dimensions of a rectangle whose width is 7 meters less than its length, and whose area is 294 square meters.

Answer 1

Let x =  length of rectangle; then width is x-7.

Area is, of course, the product of length times width, i.e. x(x-7).

Set this area to the stated value, getting the quadratic equation x(x-7) = 294.

 

Solve this equation.