Question

question #5 figure a is a scale image of figure b, as shown. the scale that maps figure a onto figure b is 1 : 3 1/2 what is the value of x? figure a figure b 3 x a 10.5 b 9 c 6.5 d 12.5

Explanation:

Step1: Recall scale - factor formula

The scale factor from Figure A to Figure B is $1:3\frac{1}{2}=\frac{1}{\frac{7}{2}}=\frac{2}{7}$ (in reverse, from B to A). If we consider the corresponding side - lengths, the ratio of the side - length of Figure A to the side - length of Figure B is equal to the scale factor. Let the side - length of Figure A be $a = 3$ and the side - length of Figure B be $x$. The scale factor equation is $\frac{a}{x}=\frac{1}{3\frac{1}{2}}$.

Step2: Cross - multiply to solve for $x$

We have $\frac{3}{x}=\frac{1}{3.5}$. Cross - multiplying gives us $x=3\times3.5$.

Step3: Calculate the value of $x$

$x = 10.5$.

Answer:

A. 10.5