Question

quadrilateral bcde is similar to quadrilateral fghi. find the measure of side fg. figures are not drawn to scale.
e to b side is 7, b to c side is 12.4, i to f side is 28

Explanation:

Step1: Find the scale factor

Since the quadrilaterals are similar, the ratio of corresponding sides is equal. The side EB in BCDE is 7, and the corresponding side IF (wait, no, EB corresponds to IF? Wait, EB is length 7, and IF (wait, the side in F G H I corresponding to EB is IF? Wait, EB is length 7, and the side in F G H I is IF with length 28. So the scale factor from BCDE to F G H I is $\frac{28}{7}=4$.

Step2: Find FG using the scale factor

The side BC in BCDE is 12.4, and the corresponding side FG in F G H I. Since the scale factor is 4, we multiply BC by 4 to get FG. So FG = 12.4 * 4 = 49.6.

Answer:

49.6