Section B Section B Checkpoint

Problem 1

Select all expressions that represent the area of this rectangle.

Partially tiled rectangle with 6 length and 5 width.

A
 6×56 \times 5
B
 6+5+6+56 + 5 + 6 + 5
C
 6+4+26 + 4 + 2
D
 5×65 \times 6
E
 6×66 \times 6

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Solution
A, D
Show Sample Response
Sample Response
A, D

Problem 2

Priya and Han are designing a tree fort with a rectangular floor. They want at least 30 square feet of floor space. The sides all have to measure less than 8 feet.

What are two possible pairs of side lengths for the floor of the fort? Explain your reasoning.

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Solution
Sample responses:
  • A 6-foot-by-5-foot floor would give an area of 30 square feet.
  • A 7-foot-by-5-foot floor would give an area of 35 square feet.
Show Sample Response
Sample Response
Sample responses:
  • A 6-foot-by-5-foot floor would give an area of 30 square feet.
  • A 7-foot-by-5-foot floor would give an area of 35 square feet.

Problem 3

Explain why the area of the rectangle is 5×35 \times 3 square units. 

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Solution
Sample response: There are 5 columns and 3 squares in each column so that's 5×35 \times 3 total squares that cover the rectangle, with no gaps or overlaps. 
Show Sample Response
Sample Response
Sample response: There are 5 columns and 3 squares in each column so that's 5×35 \times 3 total squares that cover the rectangle, with no gaps or overlaps.