The area of a rectangle is calculated with the formula A=lw. If the area of a rectangle is 52.5 m2 and the width is 5 m, what is the length? Explain the solution to the real-world problem.
To solve the problem, we can use the formula A=lw, where A represents the area of the rectangle, l represents the length, and w represents the width.
Given that the width of the rectangle is 5m and the area is 52.5 m², we can substitute these values into the formula:
52.5 = l * 5
Now we need to isolate l by dividing both sides of the equation by 5:
52.5 / 5 = l
This gives us:
10.5 = l
Therefore, the length of the rectangle is 10.5 meters.
In real-world terms, this problem could represent a scenario where you have a rectangular garden with a known width of 5 meters. You need to find the length of the garden, given that its area is 52.5 square meters. By substituting the values into the formula A=lw, you can determine that the length of the garden is 10.5 meters.
To find the length of the rectangle, we can use the formula for the area of a rectangle: A = l * w, where A represents the area, l represents the length, and w represents the width.
In this case, we are given that the area of the rectangle is 52.5 m^2 and the width is 5 m. We can substitute these values into the formula:
52.5 = l * 5
To solve for l, we divide both sides of the equation by 5:
52.5/5 = l
This simplifies to:
10.5 = l
Therefore, the length of the rectangle is 10.5 meters.
In terms of the real-world problem, let's say you have a rectangular garden with an area of 52.5 m^2. The width of the garden is 5 m. You want to determine the length of the garden.
By using the formula A = lw, where A is the area, l is the length, and w is the width, you can substitute the given values: A = 52.5 m^2 and w = 5 m.
Solving for l, you find that the length of the garden is 10.5 m. Therefore, the rectangular garden has a length of 10.5 m and a width of 5 m, resulting in an area of 52.5 m^2.