The perimeter of a rectangular park is 450m. the length of the sides are in the ratio 3:2.Find the area of the rectangle.
Let the sides be of length 2x and 3x. Then you have
2(2x+3x) = 450
x = 45
Now you know the length and width, so finding the area is a snap.
To find the area of the rectangle, we need to know the lengths of the sides.
Let's denote the length of the rectangle as 3x and the width as 2x (since the sides are in the ratio 3:2).
The perimeter of a rectangle is the sum of all four sides, which in this case is given as 450m.
So, we can write the equation as:
2(3x) + 2(2x) = 450
Simplifying the equation:
6x + 4x = 450
10x = 450
x = 45
Now that we have the value of x, we can find the length and width of the rectangle:
Length = 3x = 3 * 45 = 135m
Width = 2x = 2 * 45 = 90m
To find the area of the rectangle, we multiply the length and width:
Area = Length * Width = 135m * 90m = 12150 square meters