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.

Question

show your work

Answer 1

Let x = length of the rectangle
Width = x + 7

Area of rectangle = length * width
Area = x(x + 7)
Area = x^2 + 7x

Given that the area is 170 square meters:
x^2 + 7x = 170

Rearranging the equation to standard form:
x^2 + 7x - 170 = 0

Therefore, the quadratic equation in standard form representing the area of the rectangle is:
x^2 + 7x - 170 = 0