a) The ratio of the length of MN to the length of MP tells us the relative lengths between the two sides, but it does not provide the actual length of either side. However, if we know the length of one side, we can use the ratio to find the length of the other side.
b) If MN is 12 cm long, we can set up a proportion based on the given ratio:
MN/MP = 4/5
We can cross-multiply to solve for MP:
5 x MN = 4 x MP
5 x 12 = 4 x MP
60 = 4 x MP
MP = 15 cm
Therefore, if MN is 12 cm long, MP must be 15 cm long in order to maintain the given ratio.
In rectangle MNPQ, the ratio of the length of MN to the length of MP is 4:5. a) Does this ratio tell you how long MN is? Explain. b) What if MN is 12 cm long? How long is MP?
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