15 of 2015 of 20 Items
09:04
Skip to resources
Question
Sarah joined three squares at their vertices to create the figure shown in the diagram. She then covered each of the three squares with square centimeter tiles.
Based on the information, which statement is true?
Responses
A The number of tiles needed to cover both Region P and Region R is greater than the number of tiles needed to cover Region S.The number of tiles needed to cover both Region P and Region R is greater than the number of tiles needed to cover Region S.
B The number of tiles needed to cover Region R is the same as the number of tiles needed to cover both Region P and Region S.The number of tiles needed to cover Region R is the same as the number of tiles needed to cover both Region P and Region S .
C The number of tiles needed to cover Region S is greater than the number of tiles needed to cover both Region P and Region R.The number of tiles needed to cover Region S is greater than the number of tiles needed to cover both Region P and Region R .
D The number of tiles needed to cover Region S is the same as the number of tiles needed to cover both Region P and Region R.
D
The correct answer is:
D The number of tiles needed to cover Region S is the same as the number of tiles needed to cover both Region P and Region R.
To determine the answer, we need to analyze the figure and the information given.
The figure shows three squares joined at their vertices, creating three regions: P, R, and S. Each of these regions is covered with square centimeter tiles.
We need to compare the number of tiles needed to cover each region. Let's analyze each option:
A) The statement says that the number of tiles needed to cover both Region P and Region R is greater than the number of tiles needed to cover Region S. To confirm this, we would need to determine the number of tiles needed for each region. However, we do not have any information about the size or dimensions of the squares or the tiles, so we cannot make this comparison. This option is not conclusive.
B) The statement says that the number of tiles needed to cover Region R is the same as the number of tiles needed to cover both Region P and Region S. Again, since we do not have information about the size or dimensions, we cannot confirm or disprove this statement. This option is not conclusive.
C) The statement says that the number of tiles needed to cover Region S is greater than the number of tiles needed to cover both Region P and Region R. Once again, without specific information about the size or dimensions, we cannot verify this statement. This option is not conclusive.
D) The statement says that the number of tiles needed to cover Region S is the same as the number of tiles needed to cover both Region P and Region R. Since we lack detailed information, we cannot confirm or disprove this statement. This option is not conclusive.
Unfortunately, without additional information about the size or dimensions, we cannot determine which statement is true.