Question

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.

Answer 1

`x^2+7x-170 = 0`

Explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.

We also know the area is 170. Substitute this value for A and solve.

`170 = (7+x)(x)\\170 = 7x+x^2\\x^2+7x-170 = 0`