Question

a rectangular lot is 85 meters wide and 135 meters long. give the length and width of another rectangular lot that has the same perimeter but a larger area. width = meters length = meters

Explanation:

Step1: Calculate the perimeter of the given rectangle

The perimeter formula of a rectangle is $P = 2(l + w)$. For a rectangle with $l = 135$ meters and $w = 85$ meters, $P=2(135 + 85)=2\times220 = 440$ meters.

Step2: Recall the property of rectangles for area - perimeter relationship

Among rectangles with the same perimeter, the square has the largest area. Since the perimeter $P = 440$ meters, for a square (a special - case of rectangle), if the side length is $s$, then $P = 4s$. So, $s=\frac{440}{4}=110$ meters.

Answer:

width = 110 meters
length = 110 meters