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.

Answer 1

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.