A rectangular park is 90 meters wide and 120 meters long.Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Question
A rectangular park is 90 meters wide and 120 meters long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Solution
The perimeter of the original rectangular park is 2*(90m + 120m) = 420m.
To create a rectangle with the same perimeter but a smaller area, we need to decrease the length and increase the width, while keeping the sum of the length and width the same.
Let's take an example:
If we decrease the length to 110m and increase the width to 100m, the perimeter remains the same: 2*(110m + 100m) = 420m.
However, the area of this new rectangle is 110m * 100m = 11000 sq.m, which is smaller than the area of the original rectangle (90m * 120m = 10800 sq.m).
So, a rectangular park that is 110 meters long and 100 meters wide would have the same perimeter but a smaller area than the original park.
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