Rectangular garden

The sides of the rectangular garden are in ratio 1: 2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.

Correct result:

S =  160 m2
o =  53.6656 m

Solution:

a=1x b=2x u=20 m  u=a2+b2 u=x2+4x2=5x2 5x2=202 x=202/5=4 5 m≐8.9443 m  a=x=8.9443=4 5 m≐8.9443 m b=2⋅ x=2⋅ 8.9443=8 5 m≐17.8885 m S=a⋅ b=8.9443⋅ 17.8885=160 m2
o=2⋅ (a+b)=2⋅ (8.9443+17.8885)=24 5=53.6656 m

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Tips to related online calculators
Check out our ratio calculator.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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