Question

If the scale is 1 cm : 7 meters, what’s the area of the actual rectangle?

Answer 1

The question provides two rectangles, one is a scale model while the other one is the actual figure.

The scale is given as;

This means, for every centimeter on the model rectangle, the actual rectangle would be 7 meters. Therefore 2 centimeters on the model would be 7 times 2 meters on the actual rectangle.

Hence, the dimensions of the actual rectangle would be;

`\begin{gathered} L=6*7(\text{meters)} \\ W=4*7(\text{meters)} \\ \text{Therefore,} \\ L=42m,W=28m \end{gathered}`

The area of the actual rectangle therefore would be;

`\begin{gathered} A=L* W \\ A=1176m^2 \end{gathered}`

ANSWER:

The area of the rectangle is

`1176m^2`