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.(1 point)
Responses
l=10.5
l equals 10.5
The length is 262.5 m.
The length is 262.5 m.
The length is 262.5 m2.
The length is 262.5 m squared .
The length is 10.5 m.
The correct answer is l=10.5.
To solve the problem, we need to substitute the given values into the formula for the area of a rectangle (A = lw). We already know that the area is 52.5 m^2 and the width is 5 m.
Substituting these values into the formula, we get 52.5 = 5l.
To solve for l, we divide both sides of the equation by 5:
52.5 / 5 = l.
This simplifies to 10.5 = l. Hence, the length is 10.5 m.
The solution to the real-world problem is that the rectangle has a length of 10.5 meters.
To find the length of the rectangle, we can use the formula for the area of a rectangle, which is A = lw. In this problem, the area of the rectangle is given as 52.5 m² and the width is given as 5 m.
By substituting these values into the formula, we can solve for the length:
52.5 m² = 5 m * l
To solve for l, we divide both sides of the equation by 5 m:
l = 52.5 m² / 5 m
This simplifies to:
l = 10.5 m
Therefore, the length of the rectangle is 10.5 m.
In the real-world problem, if we have a rectangle with an area of 52.5 m² and a width of 5 m, the length of the rectangle would be 10.5 m. This means that one side of the rectangle is 10.5 m long, while the other side (width) is 5 m long.