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 ?

b) Length d, height c

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.