P = 2L + 2W
60 = 2(3W) + 2W
60 = 6W + 2W
60 = 8W
7.5 = W
60 = 2(3W) + 2W
60 = 6W + 2W
60 = 8W
7.5 = W
According to the given information, the length of the rectangle is 3 times the width. So, the length would be 3x cm.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, it is given as 60 cm.
Therefore, the perimeter of the rectangle can be represented as:
2(width) + 2(length) = 60 cm
Substituting the values, we get:
2(x) + 2(3x) = 60 cm
Simplifying the equation:
2x + 6x = 60 cm
8x = 60 cm
x = 60 cm / 8
x ≈ 7.5 cm
So, the width of the rectangle is approximately 7.5 cm. The length can be found by multiplying the width by 3:
Length = 3(x) ≈ 3(7.5 cm) ≈ 22.5 cm
Therefore, the dimensions of the rectangle are approximately 7.5 cm by 22.5 cm.
The perimeter of a rectangle is calculated by adding up all the sides, so the formula for the perimeter is:
Perimeter = 2(Length + Width)
Substituting the values we have, we get:
60 = 2(3w + w)
Simplifying further:
60 = 2(4w)
Divide both sides by 2:
30 = 4w
Now divide both sides by 4:
7.5 = w
So the width of the rectangle is 7.5 cm.
To find the length, we already know it's 3 times the width, so:
Length = 3w
Length = 3(7.5)
Length = 22.5 cm
Therefore, the dimensions of the rectangle are 7.5 cm by 22.5 cm.