Question

in a scale model of a table, 1 centimeter represents 5 inches.
answer the following.
(a) in the scale model, the length of the table is 8 centimeters. what is the length of the real table?
inches
(b) the height of the real table is 25 inches. what is the height of the table in the scale model?
centimeters

Explanation:

Step1: Solve part (a)

Given the scale \(1\ cm:5\ in\). If the model length is \(8\ cm\), then the real - length \(L\) is calculated by multiplying the model length by the scale factor.
\(L = 8\times5\)

Step2: Calculate the value for part (a)

\(8\times5=40\)

Step3: Solve part (b)

Let the model height be \(h\) cm. Using the scale \(1\ cm:5\ in\), we can set up the proportion \(\frac{1}{5}=\frac{h}{25}\). Cross - multiply gives \(5h = 25\).

Step4: Calculate the value for part (b)

Divide both sides of \(5h = 25\) by \(5\), \(h=\frac{25}{5}=5\)

Answer:

(a) \(40\) inches
(b) \(5\) centimeters