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.
show your work
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