Which has the greater area: a
6
‐centimeter by
4
1
2
‐centimeter rectangle or a square with a side that measures
5
centimeters?
How much more area does that figure have?
The area of the rectangle is 6 cm x 4.5 cm = 27 cm².
The area of the square is 5 cm x 5 cm = 25 cm².
Therefore, the rectangle has a greater area by 27 cm² − 25 cm² = 2 cm².
To determine which figure has the greater area, we need to calculate the area of each figure.
First, let's calculate the area of the rectangle:
Area of a rectangle = length x width
Length = 6 centimeters
Width = 4 1/2 centimeters
To convert the width to a decimal, we can represent 1/2 as 0.5.
Area of the rectangle = 6 cm x 4.5 cm = 27 square centimeters
Next, let's calculate the area of the square:
Area of a square = side x side
Side = 5 centimeters
Area of the square = 5 cm x 5 cm = 25 square centimeters
Comparing the two areas, we can see that the rectangle has a greater area than the square.
To calculate how much more area the rectangle has than the square, we subtract the area of the square from the area of the rectangle:
27 square centimeters - 25 square centimeters = 2 square centimeters
Therefore, the rectangle has 2 square centimeters more area than the square.