The width of a rectangle 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.

Since x is the length, then x+7 has to be the width.

The area of a rectangle can be found via the formula:

A = length * width

So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get ...

170 = x * (x+7)

[which is ... ]

170 = x^2 + 7x

0 = x^2 + 7x - 170

And that is the answer.