If the area of the rectangle is 96 m^2, what is the length and the width?
An expression for the length of the rectangle in terms of the width would be what?
The formula for the area of a rectangle in 96 m^2 is what?
Using trial and error, if the area is 96 m^2, then the length and width are what?
To find the length and width of the rectangle, we need to solve for them using the given area.
Let the length of the rectangle be L and the width be W.
1. The area of a rectangle is given by the formula A = L * W.
Given A = 96 m^2, we can write the equation as 96 = L * W.
2. An expression for the length of the rectangle in terms of the width can be written as L = 96 / W.
3. The formula for the area of a rectangle is already stated in point 1 as A = L * W.
4. To find the length and width using trial and error, we need to find two numbers that multiply to give 96. Some possible combinations are:
- Length = 1m, Width = 96m (1 * 96 = 96)
- Length = 2m, Width = 48m (2 * 48 = 96)
- Length = 3m, Width = 32m (3 * 32 = 96)
- Length = 4m, Width = 24m (4 * 24 = 96)
- Length = 6m, Width = 16m (6 * 16 = 96)
- Length = 8m, Width = 12m (8 * 12 = 96)
So, using trial and error, we see that if the area is 96 m^2, then the possible length and width combinations are:
- Length = 1m, Width = 96m
- Length = 2m, Width = 48m
- Length = 3m, Width = 32m
- Length = 4m, Width = 24m
- Length = 6m, Width = 16m
- Length = 8m, Width = 12m
To find the length and width of a rectangle with an area of 96 m^2, we can start by using the formula for the area of a rectangle, which is:
Area = Length x Width
1. An expression for the length of the rectangle in terms of the width would be:
Length = Area / Width
2. The formula for the area of a rectangle given in the problem is:
96 m^2 = Length x Width
3. Using trial and error to find the length and width:
Since the area is 96 m^2, we can try different combinations of length and width that multiply to give 96. For example:
- Length = 4 m, Width = 24 m (4 x 24 = 96)
- Length = 8 m, Width = 12 m (8 x 12 = 96)
- Length = 12 m, Width = 8 m (12 x 8 = 96)
- Length = 24 m, Width = 4 m (24 x 4 = 96)
So, using trial and error, the possible length and width combinations that give an area of 96 m^2 are:
- Length = 4 m, Width = 24 m
- Length = 8 m, Width = 12 m
- Length = 12 m, Width = 8 m
- Length = 24 m, Width = 4 m