Question

Ariile a 4 patrate sunt direct proportinale cu nr 25,36,64,100,iar suma perimetrelor lor este 580 m.Aflati aria patratelor.

Answer 1

a,b,c,d =laturile
a²,b²,c²,d² ariile
a²/25=b²/36=c²/64=d²/100
a/5=b/6=c/8=d/10
b=6a/5
c=8a/5
d=10a/5=2a
4a+4b+4c+4d=580
a+b+c+d=145
a+6a/5+8a/5+2a=145
5a+6a+8a+10a=290
29a=290
a=10
b=6*10/5=12
c=8*10/5=16
d=2*10=20

a²=10²=100
b²=12²=144
c²=16²=256
d²=20²=400