Answer: The quadratic equation in standard form for the equation that would represent the area of the rectangle is
x^2 + 7x- 170 = 0
Explanation:
Let the length of the rectangle be equal to x
The width of a rectangle is 7 meters greater than its length. This would be expressed as
Width of rectangle = x+ 7
If the area of the rectangle is 170 square meters, then it is expressed as
Area of rectangle = Length × Width
x(x+7) = 170
The quadratic equation in standard form for the equation that would represent the area of the rectangle is
x^2 +7x=170
x^2 +7x- 170 = 0