Question

Suzanne is designing a garden for the Gateway Botanical Center. She used a scale of 1 : 600 to make the drawing below. 5 cm 15 cm What is the actual area of the garden, in square meters? (1m = 100 cm)

Answer 1

The given scale is 1:600.

The dimensions of the drawing are 5 by 15.

We just have to multiply each dimension by 600.

`\begin{gathered} 5*600=3000 \\ 15*600=9000 \end{gathered}`

So, the dimensions of the actual area are 3,000 cm and 9,000 cm. But, we know that 1 meter equals 100 centimeters, let's transform.

Then, we multiply the dimensions to find the area.

`A=30m*90m=2700m^2`

Hence, the actual area is 2,700 square meters.