if you were given a rectangle with a certain area, how would you draw it so that it had the greatest perimeter?

Question

if you were given a rectangle with a certain area, how would you draw it so that it had the greatest perimeter?

0

Answers ( No )

    0
    2021-09-06T04:18:05+00:00

    we know
     
    A——————> area of rectangle

    Let
    x———–> larger side
    y———–> smaller side
    r————> ratio

    r=x/y
    we know that
    if r=1———– > is a square

    to get the largest perimeter I would draw it increasing its larger side x and decreasing its smaller side y, keeping the same area
    the ratio must be r>1

    example 1
    if you have two rectangles with the same Area
    the rectangle A have r=1.6 and the rectangle B have r=3
    the perimeter of rectangle B > perimeter of rectangle A

    example 2
    the area of rectangle is 6 units²
    rectangle 1——-> 3×2
    r=3/2=1.5
    P=10 unit
    rectangle 2——-> 6×1
    r=6/1=6
    P=14 units

Leave an answer

Browse
Browse