Question 1:
The area of a regular hexagon knowing one of its sides by definition is given by:
A = (3 * root (3) * L ^ 2) / (2)
Substituting values we have:
A = (3 * root (3) * (10) ^ 2) / (2)
A = 259.8076211
Rounding off we have:
A = 259.8 squeare feet
Answer:
the area of the floor is:
A = 259.8 squeare feet
option B
Question 2:
We search the are of each sector separately:
For Den:
A1 = (16) * (16)
A1 = 256
For Entrance:
A2 = (4) * (4)
A2 = 16
For Kitchen:
A3 = (12) * (6) + (6) * (6)
A3 = 72 + 36
A3 = 108
The total area is:
A = A1 + A2 + A3
Substituting:
A = 256 + 16 + 108
A = 380 square feet
Answer:
A = 380 square feet
option F
Question 3:
For this case we look for the area of the two shaded triangles.
We have then:
Triangle 1:
A1 = (1/2) * (3) * (4)
A1 = 6
Triangle 2:
A2 = (1/2) * (3) * (4 + 5)
A2 = 13.5
The area of the shaded region is the sum of the areas:
A = A1 + A2
Substituting:
A = 6 + 13.5
A = 19.5 square units
Answer:
A = 19.5 square units
option D
Question 4:
The area of the parallelogram by definition is:
A = (b) * (h)
Where,
b: base
h: height
Substituting values we have:
A = (15) * (15 + 6)
A = 315 square centimeters
Answer:
A = 315 square centimeters
option J