Question

a rectangular lot is 125 meters long and 90 meters wide.
give the length and width of another rectangular lot that has the same perimeter but a smaller area.
width = □ meters
length = □ meters

Explanation:

Step1: Calculate original perimeter

$P = 2\times(125 + 90) = 2\times215 = 430$ meters

Step2: Define new length/width relation

Let new width = $w$, new length = $\frac{430}{2} - w = 215 - w$

Step3: Ensure smaller area

Original area: $125\times90 = 11250$ m². Choose $w=80$, length = $215-80=135$
Check area: $135\times80=10800 < 11250$

Answer:

width = 80 meters
length = 135 meters

*Note: Any pair where $w
eq 90, 125$ and $length=215-w$ will work, e.g., width=70, length=145 is also valid.*