Garden

The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.

Correct result:

a =  48.5 m
b =  16.5 m

Solution:

2a+2b=130 ab=800.25  a(130−2a)/2=800.25  a(65−a)=800.25 a2−65a+800.25=0 a1,2=−q±D2p=65±10242 a1,2=65±322 a1,2=32.5±16 a1=48.5 a2=16.5 a=48.5 m
b=16.5 m

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