Question

If the scale factor of Figure A to Figure B is 3:8, find the value of x.

Answer 1

We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

$\frac{\text{Figure A}}{\text{Figure B}}=\frac{3}{8}$

Upon substituting the ratio between figure A and figure B, we will get:

$\frac{3}{8}=\frac{x}{24}$

$\frac{3}{8}\cdot 24=\frac{x}{24}\cdot 24$

$\frac{3}{1}\cdot 3=x$

$9=x$

Therefore, the value of x is 9.