If my room is 13ft by 12ft, how many boxes of carpet tiles would I need if each box contains 10 tiles that are 18in by 18in

Step-by-step explanation:

It depends on how you feel about using pieces of tile.

Your room dimensions in terms of the size of a tile are ...

  (12 ft)/(1.5 ft/tile) = 8 tiles

by

  (13 ft)/(1.5 ft/tile) = 8 2/3 tiles

Then the area in terms of tiles is ...

  (8 tiles)(8 2/3 tiles) = 69 1/3 tile squares

If you use pieces to fill in the places where you need 2/3 of a tile, then you need 7 boxes to get more than 69 1/3 tiles.

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If you don't want to use tile pieces to fill a space, then you will need ...

  (8 tiles)(9 tiles) = 72 tile squares

To get that number, you will need 8 boxes of tiles.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.