WILL GIVE BRAINLIEST !!!! A fence borders a triangular shaped field. A scale drawing of the fence is shown. The scale of the drawing to the actual size of the field is 24mm: 5m



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WILL GIVE BRAINLIEST A fence borders a triangular shaped field A scale drawing of the fence is shown The scale of the drawing to the actual size of the field is class=

Respuesta :

Answer:

12.5 m

17.5 m

20 m

Step-by-step explanation:

Scale of the drawing to the actual size of the field = 24 mm : 5 m

✍️Given an actual length of 96 mm, actual length would be x m.

Thus:

24 mm : 5 m = 96 mm : x m

[tex] \frac{24}{5} = \frac{96}{x} [/tex]

Cross multiply

[tex] 24x = 96*5 [/tex]

[tex] 24x = 480 [/tex]

Divide both sides by 24

[tex] x = \frac{480}{24} [/tex]

✅[tex] x = 20 m [/tex]

✍️Given an actual length of 84 mm, actual length would be x m.

Thus:

24 mm : 5 m = 84 mm : x m

[tex] \frac{24}{5} = \frac{84}{x} [/tex]

Cross multiply

[tex] 24x = 84*5 [/tex]

[tex] 24x = 420 [/tex]

Divide both sides by 24

[tex] x = \frac{420}{24} [/tex]

✅[tex] x = 17.5 m [/tex]

✍️Given an actual length of 60 mm, actual length would be x m.

Thus:

24 mm : 5 m = 60 mm : x m

[tex] \frac{24}{5} = \frac{60}{x} [/tex]

Cross multiply

[tex] 24x = 60*5 [/tex]

[tex] 24x = 300 [/tex]

Divide both sides by 24

[tex] x = \frac{300}{24} [/tex]

✅[tex] x = 12.5 m [/tex]

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