Answer: 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. We aren't worried about the area of the base, so the area is the area of the 4 triangles. Each triangle has an area of half the base times the height.
A = 4 (½ bh)
A = 2 bh
Given b = 6 and h (the height of the triangle, not the pyramid) = 5:
A = 2 (6) (5)
A = 60 ft²
2. This time, we want to include the area of the rectangular base, so:
A = b₁b₂ + 2 (½ b₁h₁) + 2 (½ b₂h₂)
A = b₁b₂ + b₁h₁ + b₂h₂
Given b₁ = 78 m, b₂ = 50 m, h₁ = 52 m, and h₂ = 60 m:
A = (78) (50) + (78) (52) + (50) (60)
A = 10,956 m²
Answer:
Find half the area of the rectangle
Step-by-step explanation:
Given
See attachment for the Serek's steps
Required
Which can be used to determine the area of the original triangle
To do this, we simply analyze each step.
At step 2, where he joined two congruent triangles to form a parallelogram.
Half the area of the parallelogram will give the area of the original triangle (since both triangles are equal)
At step 3, where he decomposed the parallelogram to a trapezoid and a right triangle.
Half the sum of the areas of the resulting shapes (trapezoid and right triangle) will equal to the area of the original triangle but half the area of each shape will not amount to the area of the original triangle
At step 4, where the right triangle and the trapezoid are merged to form a rectangle.
The area of the rectangle will equal to the area of the parallelogram in step (2).
So, half the area of the rectangle will equal to the area of the triangle.
<em>Hence, (b) is correct</em>