Question

Width of a rectangle is 7 meters greater than its length ​

Answer 1

`x^(2) +7x-170=0`

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=
`length* width`

∴ substitute the values to get correction equation.

⇒170=
`x* (x+7)`

now distributing x into (x+7).

⇒
`170= x^(2) +7x`

subtracting 170 both side.

`x^(2) +7x-170=0`

∴
`x^(2) +7x-170=0` is the quadratic equation in standard form for the equation that would represent the area of the rectangle.