Question

 Write an expression for the area of the triangle.( The area of a triangle is 1/2 •base • height.)

Answer 1

Base = 8 + 2x
Height = 14 - x

Expression for area of the triangle:
1/2(8 + 2x)(14 - x)

Hope this helps!

Answer 2

`Area = (56+10x-x^(2) )\:\:\: units^(2)`

Explanation:

The formula to find the area of a triangle is :

Area =
`(1)/(2)` × base × height

Here,

base ⇒ 8 + 2x

height ⇒ 14 - x

Let us solve now.

Area =
`(1)/(2)` × base × height

Area =
`(1)/(2)` × (8 + 2x) × (14 - x)

`Area = (1)/(2) (8 + 2x) (14 - x)`

`Area = (1)/(2) *(112-8x+28x-2x^(2) )`

`Area = (1)/(2) *(112+20x-2x^(2) )`

`Area = (1)/(2) *2(56+10x-x^(2) )`

`Area = (2(56+10x-x^(2) ))/(2)`

`Area = (56+10x-x^(2) )\:\:\: units^(2)`