Question

Figure A is a scale image of figure B. The scale that maps figure A onto figure B is 1:7 what is the length of side B?

Answer 1

Solution:

Given:

Two rectangles of different scales.

$A\colon B=1\colon7$

Figure A is smaller in size to figure B. This is also seen from the scale given.

Hence, the length of side x when the length of figure A is 8m is gotten by;

$\begin{gathered} A\colon B=1\colon7 \\ A\colon B=8\colon x \\ \\ \text{Equating both ratios,} \\ 1\colon7=8\colon x \\ \frac{1}{7}=\frac{8}{x} \\ \text{Cross multiplying,} \\ x=7\times8 \\ x=56m \end{gathered}$

Therefore, the length of side x is 56 meters.