Use proportions to find the missing side length ( x ) in the two similar figures.

Question

Figure A

(13 yd.) (x)

Figure B

(3.25) (4.23)

Answer 1

To find the missing side length (x), we can set up a proportion using the corresponding side lengths of the two similar figures.

In Figure A, the side lengths are 13 yards and x yards.
In Figure B, the side lengths are 3.25 units and 4.23 units.

So we can set up the following proportion:

13 / x = 3.25 / 4.23

Now we can cross multiply to solve for x:

13 * 4.23 = 3.25 * x
55.29 = 3.25x

Now divide both sides by 3.25 to solve for x:

x = 55.29 / 3.25
x ≈ 17 yards

Therefore, the missing side length (x) in Figure A is approximately 17 yards.