A rectangular park is 85 yards wide and 135 yards long. Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Question
A rectangular park is 85 yards wide and 135 yards long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.
Solution
To find a rectangle with the same perimeter but a smaller area, we need to adjust the length and width of the rectangle. The perimeter of the original rectangle is 2*(85+135) = 440 yards.
Let's make the length and width closer to each other. For example, we can make the length 110 yards and the width 110 yards. This still gives us a perimeter of 2*(110+110) = 440 yards, which is the same as the original rectangle.
However, the area of this new rectangle is 110110 = 12100 square yards, which is less than the area of the original rectangle (85135 = 11475 square yards). So, a rectangle with length and width of 110 yards each would have the same perimeter but a smaller area than the original rectangle.
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