The sides of a rectangular field are in the ratio 9:7 and the perimeter is 144 metres. Find the sides.
Wrong answer
To find the sides of the rectangular field, we need to set up and solve an equation based on the given information.
Let's assume that the common ratio of the sides is x. According to the given information, the sides of the field are in the ratio 9:7, so we can express the sides as 9x and 7x.
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is 144 meters. Therefore, we can set up the following equation:
2(9x) + 2(7x) = 144
Simplifying the equation, we have:
18x + 14x = 144
Combine like terms:
32x = 144
To solve for x, we divide both sides of the equation by 32:
x = 144 / 32
Simplifying further:
x = 4.5
Now that we have the value of x, we can find the sides of the rectangle:
Length = 9x = 9 * 4.5 = 40.5 meters
Width = 7x = 7 * 4.5 = 31.5 meters
Therefore, the length of the rectangular field is 40.5 meters and the width is 31.5 meters.
Very bad work 😧
The sides are 9x and 7x.
2(9x+7x) = 144