The length and width of a rectangle are in ratio 11:7. If its perimeter equals 144m, find the length and width?
To find the perimeter of anything, add all the sides up.
The ratio of 11:7 is essentially the same as telling you Length=11x and Width=7x
Sides
To solve this question, we can use the concept of ratios to find the length and width of the rectangle.
Let's start by assuming that the length and width of the rectangle are 11x and 7x, respectively, where x is a common factor that represents the ratio between the length and width.
The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given as 144m.
Perimeter = 2(length + width)
Plugging in the values we assumed, we can write the equation as:
144 = 2(11x + 7x)
Now, we need to solve this equation to find the value of x and, subsequently, the lengths of the sides.
Simplifying the equation:
144 = 2(18x)
144 = 36x
Dividing both sides of the equation by 36:
4 = x
So, x is equal to 4.
Now that we have the value of x, we can substitute it back into our assumed lengths:
Length = 11x = 11 * 4 = 44m
Width = 7x = 7 * 4 = 28m
Therefore, the length of the rectangle is 44m, and the width is 28m.