Question

Clarise drew the scale drawing below of a circular fish pond she plans to put in her backyard.

If 1 centimeter on the scale drawing represents 3 feet, what will be the diameter of Clarise's fish pond?

Answer 1

Please consider the attachment.

We have been given that 1 centimeter on the scale drawing represents 3 feet. We are asked to find the diameter of Clarise's fish pond.

We can see that radius of pond in 3 cm. We know that diameter is 2 times the radius, so diameter of the pond would be
`2* 3=6` cm.

Now we will use proportions to solve our given problem.

`\frac{\text{Actual length}}{\text{Scale length}}=\frac{\text{Actual diameter}}{\text{Scale diameter}}`

`\frac{3\text{ ft}}{1\text{ cm}}=\frac{\text{Actual diameter}}{\text{6 cm}}`

`\frac{3\text{ ft}}{1\text{ cm}} * \text{6 cm}=\frac{\text{Actual diameter}}{\text{6 cm}} * \text{6 cm}`

`3\text{ ft}* 6=\text{Actual diameter}`

`18\text{ ft}=\text{Actual diameter}`

Therefore, the diameter of Clarise's fish pond is 18 ft.