11 Emilio makes metal fences. He is making a fence using this design.
1.44 m
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1.8 m
.
The fence will need
3 horizontal metal pieces of length 1.8m
2 tall metal pieces of length 1.44 m
5 medium metal pieces
6 short metal pieces as shown on the diagram.
The heights of the tall, medium and short metal pieces are in the ratio 9:8:7
.
How many metres of metal in total does Emilio need to make the fence?

Step-by-step explanation:   7  3  13  31

3 × 1.8      long pieces                                  Calculate the ratios

2 × 1.44    9  tall vertical piece                     1.44 / 9  = x / 9      x = 1.44

5 × ___    8  medium vertical pieces          1.44 / 9  = x / 8      x = 1.28

6 × ___    7  short vertical pieces                1.44 / 9  = x / 7       x = 1.12

3 × 1.8      long pieces

2 × 1.44    9  tall vertical piece                     1.44 / 9  = x / 9      x = 1.44

5 × 1.28    8  medium vertical pieces          1.44 / 9  = x / 8      x = 1.28

6 × 1.12    7  short vertical pieces                1.44 / 9  = x / 7       x = 1.12

3 × 1.8      long pieces                                 =  5.4 m

2 × 1.44    9  tall vertical piece                   =  2.88  m

5 × 1.28    8  medium vertical pieces        =  6.4 m

6 × 1.12    7  short vertical pieces              =   6.72 m                  

                                                Total           =  21.4  m

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