Question

The area of this triangle is 200ft2 what does x have to be (length 5xft width 12ft )

Answer 1

A = .5 base • height.
200 = .5•12 •5x
200 = 6 • 5x
200 = 30 x
6 2/3 = x

Answer 2

`x=(20)/(3)`

Explanation:

The area of the given triangle is 200 ft^2

The base of the triangle is 5x

Height of the triangle is 12 feet

The formula for the area of the triangle is
`(1)/(2) \cdot base \cdot height`

replace base and height in the area of the triangle formula

Area =
`(1)/(2) \cdot base \cdot height`

`200=(1)/(2) \cdot 5x \cdot 12`

`200=(1)/(2) \cdot 60x`

`200= 30x`

divide both sides by 30

`(200)/(30) =x`

`x=(20)/(3)`