Question

The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door.

Answer 1

`2.3x+1.4=8.5`, width = 3.087 feet.

Explanation:

Let as consider width of the door be x feet.

It is given that height of a door is 1.4 feet more than 2.3 times its width. So,

`Height=2.3x+1.4`

The height of the door is 8.5 feet.

`2.3x+1.4=8.5`

Therefore, the required equation is
`2.3x+1.4=8.5`.

`2.3x=8.5-1.4`

`2.3x=7.1`

`x=(7.1)/(2.3)`

`x\approx 3.087`

So, the width of the door is about 3.087 feet.