The Perimeter of a rectangle is 76 cm. If sides are in the ratio 11:8, find its sides.
length + width = 76/2 = 38
11x + 8 x = 38
19 x = 38
x = 2
L= 22
w = 16
Let's denote the lengths of the sides of the rectangle as 11x and 8x, where x is a common factor in the ratio.
The perimeter of a rectangle can be calculated by adding the lengths of all four sides. In this case, we have:
Perimeter = 2(Length + Width)
Given that the perimeter is 76 cm and the sides are in the ratio 11:8, we can set up the following equation:
76 = 2(11x + 8x)
We can simplify the equation:
76 = 2(19x)
Divide both sides by 2 to isolate the variable:
38 = 19x
Now, we can solve for x by dividing both sides by 19:
x = 2
Now that we know the value of x, we can find the lengths of the sides of the rectangle:
Length = 11x = 11 * 2 = 22 cm
Width = 8x = 8 * 2 = 16 cm
Therefore, the sides of the rectangle are 22 cm and 16 cm.
To find the sides of the rectangle, we first need to set up a system of equations based on the given information.
Let the lengths of the sides be 11x and 8x, where x is a common factor.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 * (length + width)
So, we can set up the equation:
2 * (11x + 8x) = 76
Simplifying the equation, we get:
38x = 76
Dividing both sides by 38, we find:
x = 76 / 38
x = 2
Now that we know the value of x, we can find the lengths of the sides:
Length = 11x = 11 * 2 = 22 cm
Width = 8x = 8 * 2 = 16 cm
Therefore, the sides of the rectangle are 22 cm and 16 cm.