Question

The area of a rectangle is 2x^2-7x-15. Determine binomials that represent the length and the width if this triangle

Answer 1

`(x-5),(2x+3)`

Explanation:

Given: area of a rectangle is
`2x^2-7x-15`

To find: binomials that represent the length and the width of the rectangle

Solution:

A polynomial that consists of two terms is known as binomial.

`2x^2-7x-15=2x^2-10x+3x-15\\=2x(x-5)+3(x-5)\\=(2x+3)(x-5)`

Also, area of rectangle is length × breadth

So, length × breadth =
`(2x+3)(x-5)`

So, length = 2x+3, breadth = x-5 or length = x-5, breadth = 2x+3