A rectangular piece of construction paper is 11 inches long and 8 inches wide. How could it be cut to make a rectangle that has an area of 32 square inches?
11 - 7 = 4
4 * 8 = 32
cut off 7 inches of the length, leaving an 8x4 rectangle
Of course, you could cut it in many other ways, as long as what's left is 8x4.
Cut off 2 inches of the width, then 5 2/3 in of the length, leaving a 6 x 5 1/3 rectangle of area 32
To find a way to cut the rectangular piece of construction paper to make a rectangle with an area of 32 square inches, we can start by finding the dimensions of the smaller rectangle.
Let's assume the smaller rectangle's length is L inches and its width is W inches.
By setting up the equation for the area of the smaller rectangle, we have:
L * W = 32 square inches
To find the dimensions that satisfy this equation, we need to explore the different factors of 32. The factors of 32 are 1, 2, 4, 8, 16, and 32.
We can try different combinations of these factors to see which ones work. Let's test a few options:
Option 1: L = 4 inches and W = 8 inches
4 * 8 = 32 square inches (Area: 32 square inches)
This means you can cut out a rectangle with dimensions 4 inches by 8 inches to make a smaller rectangle with an area of 32 square inches.
Option 2: L = 8 inches and W = 4 inches
8 * 4 = 32 square inches (Area: 32 square inches)
This means you can cut out a rectangle with dimensions 8 inches by 4 inches to make a smaller rectangle with an area of 32 square inches.
Option 3: L = 2 inches and W = 16 inches
2 * 16 = 32 square inches (Area: 32 square inches)
This means you can cut out a rectangle with dimensions 2 inches by 16 inches to make a smaller rectangle with an area of 32 square inches.
Option 4: L = 16 inches and W = 2 inches
16 * 2 = 32 square inches (Area: 32 square inches)
This means you can cut out a rectangle with dimensions 16 inches by 2 inches to make a smaller rectangle with an area of 32 square inches.
So, there are multiple ways to cut the given construction paper to make a rectangle with an area of 32 square inches. You can choose any of the options mentioned above based on your preference or requirement.