Question

The width of a rectangular is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadratic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.

Answer 1

You will start with representing the area with the given information.

Then distribute the x

Next, subtract 170 from both sides.

A = lw
170 = x (x + 7)
170 = x^2 + 7x
0 = x^2 + 7x - 170 is the quadratic equation in standard form representing the area.