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In parallelogram ABCD, BC is twice as long as AB.

What is the perimeter of the parallelogram?
A
660
726
A
5m
4m+66
(not drawn to scale)
B 330
B
6050

In parallelogram ABCD, BC is twice as long as AB. What is the perimeter of the parallelogram-example-1
User Madao
by
8.4k points

1 Answer

2 votes

Answer: The perimeter is 330

Step-by-step explanation: We know that
2\overline{AB}=\overline{BC}. Plugging m in gives


2(5m)=4m+66\\10m=4m+66\\6m=66\\m=11

Now to find the perimeter we add all the lengths together


P=2\overline{AB}+2\overline{BC}\\P=2(5m)+2(4m+66)\\P=10(11)+8(11)+132=110+88+132=330

QED

User Ravishi
by
8.1k points