Answer:
Choice A. 
Step-by-step explanation:
Turn the mixed numbers into improper fractions:
Flip the second term and multiply:
Simplify:
Answer:
c
Step-by-step explanation:
First, split up the shape into multiple other shapes. We can split it into two triangles, two different triangles, and a square.
The square has area 6.
The first triangle measures 3 x 1, meaning that the area is 3/2. Since we have two, their combined area is 3.
The other two triangles measure 4 x 1, meaning that their area is 2. Since we have two, their combined area is 4.
Thus, the area is 3 + 4 + 6 = 13.
Answer:
36√3 + 144
Step-by-step explanation:
Given that,
base of the pyramid is an equilateral triangle with sides = 12
Formula to calculate total surface area of pyramid
<h3>
[Base Area] + 1/2 × Perimeter × [Slant Length]</h3>
Base Area
1/2 (height) (base)
1/2 (√12²-6²)(12)
6(6√3)
36√3
perimeter of base
sum of all sides = 12 + 12+ 12
= 36
slant height = √10²-6²
= 8
put all these values in the formula above
36√3 + 1/2(36)(8)
36√3 + 144
Total area for the pyramid with the equilateral base =
36√3 + 144
