Respuesta :

Alright this one is a bit tricky,

here are the numbers 3 5 6

If the height is 6 to figure out the base we have to do 5 times 6 which is 25

Now we add 3 to 25 we get 28

So To find the area we know to do base times Height , so we do

28 x 6b = 84   Therefore your answer is 84 cm


(Please Mark Brainliest)

Answer:

The area is 99 square centimeters.

Step-by-step explanation:

"a base 3cm greater than 5 times its height". This expression can be modelled as it follows

[tex]b=3+5h[/tex]

Where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

The are of a triangle is defined as

[tex]A_{triangle}=\frac{bh}{2}[/tex]

Replacing the given expression, we have

[tex]A_{triangle}=\frac{bh}{2}\\A_{triangle}=\frac{(3+5h)h}{2}[/tex]

But, we know that [tex]h=6[/tex], then

[tex]A_{triangle}=\frac{(3+5h)h}{2}=\frac{(3+5(6))6}{2}=\frac{(3+30)6}{2}=\frac{33(6)}{2} \\A_{triangle}=99[/tex]

Therefore, the area is 99 square centimeters.