Dimensions 8111

The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck

Correct answer:

a =  0.4
b =  0.8
c =  2.8

Step-by-step explanation:


a+b+c = 4
a = b/2
c = 7a

a+b+c = 4
a = b/2
c = 7·a

a+b+c = 4
2a-b = 0
7a-c = 0

Pivot: Row 1 ↔ Row 3
7a-c = 0
2a-b = 0
a+b+c = 4

Row 2 - 2/7 · Row 1 → Row 2
7a-c = 0
-b+0.286c = 0
a+b+c = 4

Row 3 - 1/7 · Row 1 → Row 3
7a-c = 0
-b+0.286c = 0
b+1.143c = 4

Row 3 + Row 2 → Row 3
7a-c = 0
-b+0.286c = 0
1.429c = 4


c = 4/1.42857143 = 2.8
b = 0-0.28571428571429c/-1 = 0-0.28571429 · 2.8/-1 = 0.8
a = 0+c/7 = 0+2.8/7 = 0.4

a = 2/5 = 0.4
b = 4/5 = 0.8
c = 14/5 = 2.8

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