The answer your looking for is C, hoped my answer helped (:
He would need 1194 square inches of wrapping paper
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Hi there!
We can see this by writing the factors as multipliers. We get the following:
Now we can see that the terms that are in common are 3 and a, and therefore we can bring those outside the parenthesis.
-6.2 plus -4.8 is -11. add the 3.8 to get -7.2
-4.8 plus 3.8 is -1
-1 plus -6.2 is -7.2
-7.2=-7.2
