Question

The area of a rectangle is 56 cm. The length is 2 cm more than x and the width is 5 cm less tha

twice x. Solve for x. Round to the nearest whole number.

Answer 1

`x=6,` or
`x=(-11)/(2)`

Explanation:

Given:
`l=x+2`
`b=2x-5`

Area =
`56`

find: find
`x`

Solution: Since

`A=L`
`b=56`

Hence

l
`b=56`

`(x+2)(2x-5)=56`

`2x^(2) -5x+4x-10=56`

`2x^(2) -x-10-56=0`

`2x^(2) -x-66=6`

`x=(1+√(1-4*2(-66)))/(4)`

`l=(1+√(1+520) )/(4)=(1+23)/(4)`

`k=(24)/(4)` or
`x=(-22)/(4)`

Hence

Answer:
`x=6,` or
`x=(-11)/(2)`

I hope this helps you

:)