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damaskus [11]
3 years ago
10

A rectangular gate is made using 6 straight pieces of steel.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

Answer:

Total weight is 150 kg

Step-by-step explanation:

Firstly, we need the weight of the diagonal

To get this, we shall use the Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

The diagonals stand for the hypotenuse

Thus, we have that;

d^2 = 5^2 + 12^2

d^2 = 25 + 144

d^2 = 169

d^2 = 13^2

d = 13

The 6 sides technically includes the whole rectangle sides, then the two diagonals

The total length here is;

2(5 + 12 + 13) = 60 meters

Steel weight is 2.5 kg per meter

Weight of 60 m will be ;

60 * 2.5 = 150 kg

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