Answer:
[tex]x^{2} +7x-170=0[/tex]
Step-by-step explanation:
Here is the complete question: The width of a rectangle is 7 meters greater than its length . If the area of the rectangle is 170 m², write the quadratic equation in standard form for the equation that would represent the area of the rectangle. Let x equal to the length of the rectangle.
Given: Width of rectangle is 7 meter greater than length
Length of rectangle is x.
Area of rectangle= 170 m²
Now as given, length is x meter and width is (x+7) meter
we know that, area of rectangle= [tex]length\times width[/tex]
∴ substitute the values to get correction equation.
⇒170= [tex]x\times (x+7)[/tex]
now distributing x into (x+7).
⇒ [tex]170= x^{2} +7x[/tex]
subtracting 170 both side.
[tex]x^{2} +7x-170=0[/tex]
∴ [tex]x^{2} +7x-170=0[/tex] is the quadratic equation in standard form for the equation that would represent the area of the rectangle.
