Answer:
LM = 6 cm
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