Question

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

5 m
12 m
The weight of the steel is 2.5 kg per metre.
+
Work out the total weight of the steel gate.
Pythagoras' Theorem - A Simple Approach View One Minute Version
Overview
11.
معاص

Answer 1

Total weight is 150 kg

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