Question

a scale drawing of a garden is made with a scale of 1:200. if a drawn flower bed is 2 cm long, how long is it in real life? a. 400 cm b. 40 cm c. 100 cm d. 200 cm

Explanation:

Step1: Use the scale formula

The scale is \(1:200\), which means \(1\) unit on the drawing represents \(200\) units in real - life. If the drawing length \(d = 2\) cm, and let the real - life length be \(x\). Using the proportion \(\frac{d}{x}=\frac{1}{200}\).

Step2: Solve for \(x\)

Cross - multiply the proportion \(\frac{2}{x}=\frac{1}{200}\), we get \(x = 2\times200\).

Answer:

A. \(400\) cm