Question

Side BC is 4 meters long. Side CD is twice the length of the side BC. What is the length of side LM. Explain your reasoning.

Answer 1

LM = 18

Explanation:

BC = 4

CD is twice that, so CD is 8

Now, remembering that the area of ABCD = 32 and JKLM = 72, divide 72 by 32.

You get 2.25. This is how much bigger JKLM is than ABCD.

Using that, multiply the length of CD (which is 8) by 2.25 to get the length of LM.

You'll get 18.

Hope this helps!