Individual 17891

The size of the five gardens is 13:10:9:8:7. Calculate the areas of individual gardens if you know that the middle area is 720 m2.

Correct answer:

A =  1040 m2
B =  800 m2
C =  720 m2
D =  640 m2
E =  560 m2

Step-by-step explanation:

C=720 m2 A:B:C:D:E = 13:10:9:8:7 d=13+10+9+8+71​=471​≐0.0213 C = 9⋅ d ⋅  S  S=C/(9⋅ d)=720/(9⋅ 0.0213)=3760 m2  A=13⋅ d⋅ S=13⋅ 0.0213⋅ 3760=1040 m2
B=10⋅ d⋅ S=10⋅ 0.0213⋅ 3760=800 m2
C=9⋅ d⋅ S=9⋅ 0.0213⋅ 3760=720 m2
D=8⋅ d⋅ S=8⋅ 0.0213⋅ 3760=640 m2
E=7⋅ d⋅ S=7⋅ 0.0213⋅ 3760=560 m2

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