Question

A=16xx-6use the given area to find the missing sides of the rectangle

Answer 1

The area of the rectangle is given as 16 units squared

The length = x

The width = x-6

The area of a rectangle is given by the formula;

A= l * w

A= x {x-6}

16 = x^2 -6x -----------form a quadratic equation as;

`x^2-6x-16\text{ =0}`

Find the factors of -16 that can add or subtract to give -6

The factors will be -8 and 2

Factorize the equation as ;

`x^2+2x-8x-16=0`
`x(x+2)-8(x+2)=0`
`(x+2)(x-8)=0`

Finding the real values of x , take that which will result to a positive length

( x-8) = 0

x-8 = 0

x= 8 units

So ; Length = x = 8 units

Width = x- 6 = 8-6 = 2 units

Answers

Length = 8 units

Width = 2 units