Question

The rectangular garden has an area of 8x^2+14x-15 square feet.if the length is 2x+5.find the width

Answer 1

The area is given by the function:

`A=8x^2+14x-15`

The length is 2x+5 so factorize the above function as follows:

`\begin{gathered} A=8x^2+14x-15 \\ A=8x^2+20x-6x-15 \\ A=4x(2x+5)-3(2x_{}+5) \\ A=(4x-3)(2x+5) \end{gathered}`

Since the length is 2x+5, therefore the width is 4x-3.

Hence the width of the rectangle is 4x-3.