Planes a and b are parallel. Parallel straight lines are drawn through points C and D of plane a

| September 15, 2021 | education

Planes a and b are parallel. Parallel straight lines are drawn through points C and D of plane a, which intersect plane b at points C1 and D1, respectively. Find the perimeter of C1CDD1 if C1C: CD = 1: 2, C1C = 4m.

The planes are parallel. Parallel straight lines are drawn through points C and D of plane a, which intersect with the second plane at points C1 and D1.
We get:
C1C: CD = 1: 2;
С1С = 4 m, therefore CD = 8 m.
C1C is parallel to DD1, then the straight lines lie in one plane, which is parallel to the other two planes.
Points C and D belong to the same planes and intersect along the straight line CD, similarly with two other points.
We get a parallelogram:
C1C = D1D = 4 cm;
C1D1 = 8 cm;
Find the perimeter:
P = 4 + 4 + 8 + 8;
P = 24 m.
Answer: P = 24 m.



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