Question

Can someone pls explain how they got the answer and find what x is

Answer 1

x = 8

Explanation:

Area of a rectangle: lw

Area of a triangle: 1/2 bh

`A_(rectangle) = 7(x+6)`

`A_(triangle) = (1)/(2)(14)(2x-2)`

The question is asking for when
`A_(rectangle) = A_(triangle)`, so set the 2 equations equal to each other:

`7(x+6) = (1)/(2)(14)(2x-2)`

Solve for x:

`7x+42=14x-14`

`56=7x`

x = 8