Question

The area of a Little Italy gallery is 588 square meters and has a rectangular shape. If one side of the gallery measures 2x + 4 and another side measures 8x + 2, what is the value of x?

Answer 1

`5`

Explanation:

GIVEN: The area of a Little Italy gallery is
`588\text{ m}^2` and has a rectangular shape. If one side of the gallery measures
`2x + 4` and another side measures
`8x + 2`.

TO FIND: what is the value of
`x`.

SOLUTION:

Length of first side
`=(2x+4)`

Length of second side
`=(8x+2)`

Area of rectangle
`=\text{length}*\text{breadth}`

`=(2x+4)(8x+2)=16x^2+36x+8=588`

`\implies`
`16x^2+36x-580=0`

Solving we get

`x=5,(-29)/(4)`

As
`x<0`, the value of
`x` is
`5`