Rectangular 6255

The lengths of the sides of the rectangular garden are in the ratio of 1: 2. The connection of the centers of the adjacent sides is 20 m long. Calculate the perimeter and area of the rectangle.

Correct answer:

o =  107.3313 m
S =  640 m2

Step-by-step explanation:

a:b=1:2 b=2a 202=(a/2)2+(b/2)2=(17.8885/2)2+(35.7771/2)2=0 202=(a/2)2+(2a/2)2  1.25a2+400=0 1.25a2400=0  p=1.25;q=0;r=400 D=q24pr=0241.25(400)=2000 D>0  a1,2=2pq±D=2.5±2000=2.5±205 a1,2=±85=±17.888543819998 a1=85=17.888543819998 a2=85=17.888543819998   Factored form of the equation:  1.25(a17.888543819998)(a+17.888543819998)=0  a>0 a=a1=17.8885=8 5 m17.8885 m b=2 a=2 17.8885=16 5 m35.7771 m  o=2 (a+b)=2 (17.8885+35.7771)=48 5=107.3313 m

Our quadratic equation calculator calculates it.

S=a b=17.8885 35.7771=640 m2

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