Question

meg found a scale drawing of a forget - me - not in an encyclopedia of flowering plants. the drawing used a scale of 1 centimeter : 2 millimeters. in the drawing, the diameter of one flower was 4.8 centimeters. meg wants to make a large clay sculpture that includes a realistic forget - me - not. she decides to use a scale of 2 centimeters : 3 millimeters. in her sculpture, what should the diameter of one flower be? write your answer as a whole number, decimal, proper fraction, or mixed number. centimeters

Explanation:

Step1: Find the actual diameter of the flower

The scale is \(1\) centimeter \( : 2\) millimeters. The drawing diameter is \(4.8\) centimeters.
Let the actual diameter be \(x\) millimeters. Using the proportion \(\frac{1}{2}=\frac{4.8}{x}\), cross - multiply: \(x = 4.8\times2=9.6\) millimeters.

Step2: Find the diameter in the sculpture

The new scale is \(2\) centimeters \( : 3\) millimeters. Let the sculpture diameter be \(y\) centimeters.
Using the proportion \(\frac{2}{3}=\frac{y}{9.6}\), cross - multiply: \(3y=2\times9.6\), so \(y=\frac{2\times9.6}{3}\).
Calculate \(y=\frac{19.2}{3}=6.4\)

Answer:

\(6.4\)