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Plans were made for a rectangular garden to be planted outside of a library. The plans use a scale of 1.6 cm = 2 m. If the garden is 14 cm by 10 cm on the scale, find the actual dimensions. If maybe somebody could not just give me the answer, but give me the equation so I can work the rest of these questions out myself, that'd be great!

Respuesta :

Aletocabens
The actual dimensions of the garden are 17.5m by 12.5m.

the calculus are below

Ver imagen Aletocabens

To solve the problem easily we will first find the length of 1 cm in reality, and then multiply that by the dimensions of the plan.

The dimensions of the garden, in reality, are 17.5 meters and 12.5 meters.

Given to us

  • plans use a scale of 1.6 cm = 2 m,
  • the garden is 14 cm by 10 cm on the scale

What is 1 cm in reality?

It is given to us that 1.6 cm on the plan is 2 m in reality, therefore,

[tex]\text{1 cm on the plan} = \dfrac{2\ m}{1.6\ } = 1.25\ m\text{ in reality}[/tex]

Thus, 1 cm on the plan is equal to 1.6 meters in reality.

What are the dimensions of the garden?

14 cm = 14 x 1.25 = 17.5 meters in reality,

10 cm = 10 x 1.25 = 12.5 meter in reality.

Hence, the dimensions of the garden, in reality, are 17.5 meters and 12.5 meters.

Learn more about dimensions and scaling:

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