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Triangle KLP KLP is cut from parallelogram KLMN KLMN and moved to its right-hand side. What are the dimensions of the resulting rectangle LMQP LMQP ?

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Answer:

b) Length d, height c

Step-by-step explanation:

The question is incomplete. The complete question is stated below:

Triangle KLP is cut from parallelogram KLMN and moved to its right-hand side. What are the dimensions of the resulting rectangle LMQP ?

a) length d, height a

b) length d, height c

c) length d - b, height c

b) length d + b, height c

The diagram in the question has been attached to the answer.

SOLUTION:

The parallelogram KLMN had dimension base d and height c.

When right angled triangle KLP is cut from it, we are left with a right-angled trapezoid NPLM. Attaching a right angle triangle KLP to the right of the trapezium gives rectangle LMQP as

Right angled triangle KLP = Right angled triangle NMQ.

The dimension of the resulting rectangle LMQP is Length d, height c.

The diagram for the solution is sent as attachment.

Triangle KLP KLP is cut from parallelogram KLMN KLMN and moved to its right-hand side-example-1
Triangle KLP KLP is cut from parallelogram KLMN KLMN and moved to its right-hand side-example-2
User Sumit Ridhal
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