Question

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a rectangular field is 135 meters long and 100 meters wide. give the length and width of another rectangular field that has the same perimeter but a smaller area. width = meters length = meters

Explanation:

Step1: Calculate original perimeter

$P = 2\times(135 + 100)=470$ meters

Step2: Choose new dimensions

Let length $l = 150$ meters, width $w = 85$ meters. Perimeter is $2\times(150 + 85)=470$ meters. Area of new rectangle is $150\times85 = 12750$ square - meters, original area is $135\times100 = 13500$ square - meters.

Answer:

width = 85 meters
length = 150 meters