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

Answer: The quadratic equation in standard form for the equation that would represent the area of the rectangle is

x^2 + 7x- 170 = 0

Step-by-step 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