Rectangle

The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.

Correct result:

a =  32.0377 cm
b =  5.4623 cm

Solution:

o=75 cm u=32.5 cm  2a+2b=o a2+b2=u2  a2+(o/2a)2=u2  a2+(75/2a)2=32.52 2a275a+350=0  p=2;q=75;r=350 D=q24pr=75242350=2825 D>0  a1,2=q±D2p=75±28254=75±51134 a1,2=18.75±13.2876822659 a1=32.0376822659 a2=5.46231773408   Factored form of the equation:  2(a32.0376822659)(a5.46231773408)=0  a=a1=32.0377=32.0377 cm

Our quadratic equation calculator calculates it.

b=a2=5.4623=5.4623 cm



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