Question

mr.lumen replaced a square window with a rectangular one.The new window is 3 ft wider and 2 ft higher than the square one.it has an area of 30 ft.how log was a side of the original square window?

Answer 1

It is 7.5 becaus3 I know and I did tbis problem before and my teacher said it was right unless she was wrong.

Answer 2

Alright, lets get started.

Suppose the original square window has the side = x feet

The new window is 3 ft wider and 2 ft higher than the square one.

Means length of the new window will be =
`(x+3)`

Width of the new window will be =
`(x+2)`

So the area of the new window will be =
`(x+3)(x+2)`

So the area of the new window will be =
`x^2 + 2x + 3x + 6`

So the area of the new window will be =
`x^2 + 5x + 6`

As given in question the area of 30 square feet for the new window, hence

`x^2 + 5x + 6 = 30`

`x^2 + 5x - 24 = 0`

Factoring

`(x+8)(x-3) = 0`

x = -8 or x = 3

Side could not be negative hence

side of the original square window will be = 3 feet : Answer

Hope it will help :)