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An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan but there is an error in the dimensions.

Which of the following changes should she make to the dimensions to correct her error?

change the length of side RQ to 13 feet

change the length of side CB to 11 feet

change the length of side CB to 8 feet

change the length of side RQ to 8.5 feet

An architect planned to construct two similar stone pyramid structures in a park. The figure below shows the front view of the pyramids in her plan but there is class=

Answer :

MissPhiladelphia
If the pyramids are similar, then they would have the same ratio for each corresponding side.

PQ to AB = 6/3 = 2
RQ to CB = 10.5/3.5 = 3
RP to CA = 7.5/2.5 = 3

The answer should be an alteration to either PQ or AB. For example, he could change PQ to 9 feet or AB to 2 feet so that the ratio would also be 3.

I hope I was able to help you. Have a good day.

The correct answers are:


Change PQ to 9 or AB to 2.


Explanation:


Similar figures must have the same ratio for all corresponding sides.


The ratio of RQ to CB is 10.5/3.5 or 3/1.


The ratio of PR to AC is 7.5/2.5 or 3/1.


The ratio of PQ to AB is 6/3 or 2/1. This is the only one whose ratio is not the same. This means either the length of PQ must be changed or the length of AB must be changed.


We want the ratio to be equal to 3/1. If we change PQ, we need it to be 3 times the length of AB, which is 3:

3(3) = 9


If we change AB, we need it to be 1/3 the length of PQ, which is 6:

1/3(6) = 6/3 = 2

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