How do you find the area of this composite figure?
1 answer:
Split the shape into smaller shapes, (see attachment)
find the area of the split shapes. So first find the area of the triangles
A = 1/2bh
A = 1/2*2*3
A = 1/2*6
A = 3
so that is the area of one triangle. the area of the other is
A = 1/2*4*3
A = 1/2 * 12
A = 6
now find the area of the rectangle
A = l*w
A = 9*3
A = 27
add them all together
27 + 6+ 3 = 36
the area of the total figure is 36
find the area of the split shapes. So first find the area of the triangles
A = 1/2bh
A = 1/2*2*3
A = 1/2*6
A = 3
so that is the area of one triangle. the area of the other is
A = 1/2*4*3
A = 1/2 * 12
A = 6
now find the area of the rectangle
A = l*w
A = 9*3
A = 27
add them all together
27 + 6+ 3 = 36
the area of the total figure is 36
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Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17
The surface area of the triangular prism is 55.5,127.5,135,or 150
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face
(C)Total Surface Area of the Triangular prism
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face
The dimensions of the lateral rectangles are:
- 2.5 mm by 8mm
- 6 mm by 8mm
- 6.5 mm by 8mm
Therefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
Total Surface Area of the Triangular prism
