Question

The rectangles are similar. Rectangle ABCD is 5-by-8. Rectangle JKLM is 12 units long. Find ML.

A) M
B) D
C) L
D) A

Answer 1

To find the length of ML, set up proportions using the ratio of corresponding sides of similar rectangles. The length of ML is 96/5.

Step-by-step explanation:

To find the length of ML, we can set up proportions using the ratio of corresponding sides of similar rectangles. The ratio of the length of Rectangle JKLM to Rectangle ABCD is 12/5, since Rectangle JKLM is 12 units long and Rectangle ABCD is 5 units long.

This ratio is equal to the ratio of the lengths of corresponding sides of the rectangles.

Letting ML represent the unknown length of Rectangle JKLM, we have:

12/5 = ML/8

Cross-multiplying gives us:

12 * 8 = 5 * ML

Simplifying the equation gives us:

ML = (12 * 8)/5

We can calculate:

ML = 96/5