Below is a student's mathematical model of the farmhouse roof with measurements
added.
T
12 m
G
E
F
| 04
OL
N
M
12 m
Ik
A
12 m
B
The attic floor, ABCD in the model, is a square. The beams that support the roof are
the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the
middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the
pyramid in the model have length 12 m.
1 point
1. Calculate the area of the attic
floor ABCD. The area of the attic
floor ABCD =
m2
Answers
Answered by
0
Answer:
Area of the attic floor ABCD. = 144 m² , The length of EF = 6 m
Step-by-step explanation:
For complete Question see attached picture
area of the attic floor ABCD. = AB * BC
= 12 * 12
= 144 m²
Area of the attic floor ABCD. = 144 m²
E is the middle of AT => ET = AT/2 = 6 m
F is the middle of BT => FT = BT/2 = 6 m
ΔTEF ≈ ΔTAB
=> ET/AT = FT/BT = EF/AB
=> 6/12 = 6/12 = EF/12
=> EF = 6 m
The length of EF = 6 m
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