Question

NEED HELP ASAP!!

A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s.

Answer 1

84 square inches divided by 14 inches equals 6

84 divided by 14 = s

Answer 2

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =
`length * width`

So, the area of the rectange would be =
`14 s`

A triangle is cut from the rectangle.

The height of the triangle is =
`(s)/(2)`

The base of the triangle is = 14

So area of the triangle would be =
`(1)/(2) *base * height`

area of the triangle would be =
`(1)/(2) * 14*(s)/(2)`

area of the triangle would be =
`(7s)/(2)`

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =
`14 s -(7s)/(2)`

As per given in question, area of shaded region is 84, hence

`14 s -(7s)/(2) = 84`..........equation

So, this is the equation for s : Answer

Hope it will help :)