The length of a rectangle is equal to triple the width. Find the dimensions of the rectangle if the perimeter is 72 cm
P = 2L + 2W
72 = 2(3W) + 2W
72 = 8W
9 = W
Take it from there.
Let's solve this step-by-step.
Step 1: Let's assume the width of the rectangle is "w" cm.
Step 2: According to the given information, the length of the rectangle is triple the width, so the length is 3w cm.
Step 3: The formula for calculating the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width. In this case, the perimeter is given as 72 cm.
Step 4: Substitute the values into the formula: 72 = 2(3w + w).
Step 5: Simplify the equation: 72 = 2(4w).
Step 6: Multiply: 72 = 8w.
Step 7: Divide both sides by 8 to solve for w: w = 9.
Step 8: Now that we know the value of w, we can find the length by substituting w = 9 into the equation for the length: 3w = 3(9) = 27.
Step 9: Therefore, the dimensions of the rectangle are 9 cm (width) and 27 cm (length).
To find the dimensions of the rectangle, we can set up equations based on the given information.
Let's assume that the width of the rectangle is "w" centimeters.
According to the given information, the length of the rectangle is equal to triple the width, so the length can be expressed as 3w centimeters.
The formula for the perimeter of a rectangle is P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
In this case, we are given that the perimeter is 72 cm, so we can set up the equation:
72 = 2(3w + w)
Let's simplify this equation:
72 = 2(4w)
72 = 8w
Now, divide both sides of the equation by 8:
w = 9
So, the width of the rectangle is 9 cm.
Since the length is equal to triple the width, the length would be:
l = 3w = 3 * 9 = 27
Therefore, the dimensions of the rectangle are:
Width = 9 cm
Length = 27 cm