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.
The length is 262.5 m.
The length is 262.5 m.
The length is 10.5 m.
The length is 10.5 m.
l=10.5
l equals 10.5
The length is 262.5 m2
The correct answer is 10.5 m.
To solve the problem, we can use the formula for calculating the area of a rectangle: A = l * w.
Given that the area is 52.5 m2 and the width is 5 m, we can substitute these values into the formula and solve for the length.
52.5 = l * 5
To solve for l, we divide both sides of the equation by 5:
52.5 / 5 = l
l = 10.5
Therefore, the length of the rectangle is 10.5 m.
To find the length of the rectangle, we can use the formula for the area of a rectangle, which is A = lw, where A represents the area, l represents the length, and w represents the width.
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 need to isolate it on one side of the equation. We can do this by dividing 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 m.
Explanation of the solution to the real-world problem:
This problem is asking us to find the length of a rectangle given its area and width. The formula for calculating the area of a rectangle, A = lw, relates the length and width to the area. By substituting the given values, we can solve for the unknown length. In this case, the area is given as 52.5 m^2, and the width is given as 5 m.
By rearranging the formula to solve for the length, we can determine that the length is equal to 10.5 m. This means that the rectangle has dimensions of 10.5 m by 5 m, resulting in a total area of 52.5 m^2.