Square QRST is similar to Square KLMN. The ratio of the length of side QR to the length of side KL is 3:2. If side ST=9 cm, what is the length of side LM?

LM = 6 cm

Step-by-step explanation:

A square has all the sides equal in length. The opposite sides of a square is parallel to each other  and all the angles are equal to 90°.

Therefore , the square QRST has all it sides equal in length. Likewise the square KLMN .

The ratio of side QR to the length side KL is 3:2 . If the side ST = 9 cm , The length of side LM can be gotten below.

ST =  9 cm since QRST is a square all the other sides are 9 cm . The length of KLMN is equal for all sides too. The ratio for any sides of square QRST to  any sides of square KLMN is  the same through out.

Therefore,

3/2 = 9/LM

cross multiply

3LM = 18

divide both sides by 3

LM = 18/3

LM = 6 cm