Area Between Two Rectangles Flashcards
What is the formula for the area of a rectangle?
Area = length × width
True or False: The area between two rectangles can be found by subtracting the area of the smaller rectangle from the area of the larger rectangle.
True
If Rectangle A has dimensions 5m by 3m and Rectangle B has dimensions 4m by 2m, what is the area between Rectangle A and B?
Area between = (5 × 3) - (4 × 2) = 15 - 8 = 7 square meters
Fill in the blank: The area between two rectangles is only defined when the rectangles __________.
overlap
What happens to the area between two rectangles if they do not overlap?
The area between them is zero.
Multiple Choice: Which of the following is NOT a method to calculate the area between two rectangles?
D. Adding the areas of both rectangles
If Rectangle C has an area of 20 square units and Rectangle D has an area of 10 square units, what is the area between them?
Area between = 20 - 10 = 10 square units
True or False: The units of area between two rectangles are always the same as the units used for the rectangles.
True
For rectangles that overlap partially, how is the area between them calculated?
Identify the total area of both rectangles and subtract the area of the overlapping section.
What is the significance of the overlap area in calculating the area between two rectangles?
The overlap area must be subtracted to avoid double counting.
What are the dimensions of Rectangle E if its area is 12 square units and its length is 3 units?
Width = Area / Length = 12 / 3 = 4 units
If two rectangles are identical, what is the area between them?
The area between them is zero.
Multiple Choice: If Rectangle F is 6m by 4m and Rectangle G is 2m by 2m, what is the area between them?
B. 20 square meters
What does it mean if the area between two rectangles is negative?
It indicates that the smaller rectangle’s area is larger than the larger rectangle’s area, which is not possible.
Fill in the blank: To find the area between two rectangles, first calculate the area of each rectangle and then __________.
subtract the smaller area from the larger area
If Rectangle H has a length of 8m and a width of 5m, what is its area?
Area = 8 × 5 = 40 square meters
True or False: The area between two rectangles can be negative if one rectangle is completely within the other.
False
What is the area of a rectangle with a length of 10 units and a width of 1 unit?
Area = 10 × 1 = 10 square units
Multiple Choice: Which of the following represents the area of Rectangle I if its dimensions are 7m by 3m?
A. 21 square meters
What is the first step in calculating the area between two rectangles?
Calculate the area of each rectangle.
