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  202=(a/2)2+(2a/2)2  −1.25a2+400=0 1.25a2−400=0 a1,2​=±400/1.25​=±17.88854382 a1​=17.88854382 a2​=−17.88854382  a>0 a=a1​=17.8885=8 5​ m≐17.8885 m b=2⋅ a=2⋅ 17.8885=16 5​ m≐35.7771 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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