Question

A square has a side that is (x-3) units long. If the area of the square is 126.5625 sq units, what is the value of x?

Answer 1

14.25 units

Explanation:

Area of a square=
`l*b= (x-3)(x-3)=x^(2)-3x-3x+9=x^(2)-6x+9`

`x^(2)-6x+9=126.5625`

`x^(2)-6x-117.5625`

Solving the equation using quadratic equation then as attached

x=14.25 units

To prove

x-3=14.25-3= 11.25 units

area=11.25*11.25=126.5625 sq units