Question

a rectangle with a width of (2x+5) feet and a length of (3x-1) has an area of 250 square feet what is the rectangles width

Answer 1

Greetings!

Answer:

The width is
`(17)/(3)`

Explanation:

First, we need to find the value of x.

To do this we need to multiply the two equations of the line because (length x width = area)

(2x + 5) (3x - 1)

Multiply out:

6x² -2x + 15x - 5

Simplified:

6x² +13x - 5

Factorise into two brackets:

(2x+5)(3x-1) = 0

x =
`(-5)/(2)` or x =
`(1)/(3)`

X has to be one third because it cannot be -2.5 because you cannot have a negative measurement.

Because the equation of the width is 2x + 5 simply plug the value of x into this:

`2((1)/(3)) + 5`

=
`(17)/(3)`

So the rectangles width is
`(17)/(3)` feet

Hope this helps!