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2016 Swedish Mathematical Competition
1
1
Part of
2016 Swedish Mathematical Competition
Problems
(1)
max area of quadrilateral with sides 20,20,14,13 and right ange between 20s
Source: 2016 (-17) Swedish Mathematical Competition p1
8/31/2020
In a garden there is an
L
L
L
-shaped fence, see figure. You also have at your disposal two finished straight fence sections that are
13
13
13
m and
14
14
14
m long respectively. From point
A
A
A
you want to delimit a part of the garden with an area of at least
200
200
200
m
2
^2
2
. Is it possible to do this? https://1.bp.blogspot.com/-VLWIImY7HBA/X0yZq5BrkTI/AAAAAAAAMbg/8CyP6DzfZTE5iX01Qab3HVrTmaUQ7PvcwCK4BGAYYCw/s400/sweden%2B16p1.png
geometry
area
areas
max