Answer:
[tex]Area = (56+10x-x^{2} )\:\:\: units^{2}[/tex]
Step-by-step explanation:
The formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Here,
base ⇒ 8 + 2x
height ⇒ 14 - x
Let us solve now.
Area = [tex]\frac{1}{2}[/tex] × base × height
Area = [tex]\frac{1}{2}[/tex] × (8 + 2x) × (14 - x)
[tex]Area = \frac{1}{2} (8 + 2x) (14 - x)[/tex]
[tex]Area = \frac{1}{2} *(112-8x+28x-2x^{2} )[/tex]
[tex]Area = \frac{1}{2} *(112+20x-2x^{2} )[/tex]
[tex]Area = \frac{1}{2} *2(56+10x-x^{2} )[/tex]
[tex]Area = \frac{2(56+10x-x^{2} )}{2}[/tex]
[tex]Area = (56+10x-x^{2} )\:\:\: units^{2}[/tex]
