Question

Please help me with this question!

Answer 1

whats the area

Answer 2

\[x ^{2}+3x-40 ft\]

Answer 3

ft ^2

Answer 4

The area of any triangle is calculated by:
\[A _{\triangle}=\frac{ b.h }{ 2 }\]
This means, base time height divided by two.
Since in the excercise we are given the area \(x^2+3x-40\) and we know that the base is \(x+8\), we can then use the formula above by replacing the data:
\[x^2+3x-40=\frac{ (x+8)(h) }{ 2 }\]
Now, it's just a matter to solve for "h".

Answer 5

So, \[(x-5)(x+8)=\frac{ (x+8)(h) }{ 2 }\]
Now, what do i do.

Answer 6

Well, now try to isolate that h on any side of the "=" sign.

Answer 7

does the (x+8) cancel out?

Answer 8

@owlcoffee