In rectangle MNPQ, the ratio of the length of MP is 4:5.
a) Does this ratio tell you how long MN is? Explain.
b) What if MN is 12cm long. How long is MP? Use a diagram to illustrate your answer. Show your work.
the answer in the back says
a) no, it only tells the proportion
b)15 cm
how would i show my work for b?
hello???? can anyone help me with my question plz??
nvm then since no one will help me :'(
Well, if you know that MN is 12cm long and you have the ratio 4:5. Then when you multiple 4 by 3 you get 12, so then 5 times 3 equals 15. So MP is 15cm long. Also it could look like this 4/5=12/15
a) No, the ratio of the length of MP (4:5) does not directly tell us how long MN is. The ratio only tells us the relationship between the length of MP and the length of PQ, not the absolute length of any one side.
To determine the length of MN, we need additional information or measurements such as the length of PQ or the angles of the rectangle.
b) If MN is 12 cm long, we can use the given ratio and some algebraic manipulation to calculate the length of MP.
Let's assign variables to the lengths of MP and PQ. Let MP be 4x and PQ be 5x, where x represents a common factor or unit.
Since MP is 4/5 of PQ, we have the equation 4x = (4/5)(5x) or 4x = 4x. This equation shows that the lengths of MP and PQ are equal.
So, if MN is 12 cm long, then MP is also 12 cm long, as they are the same length in this specific scenario.
To illustrate this answer, a diagram of rectangle MNPQ is not necessary since the labeled lengths MN, MP, and PQ are enough to understand the relationship.