Use proportions to find the missing side length ( x ) in the two similar figures. (1 point) Responses 4 yards%C2%A0 4 yards%C2%A0 9.99 yards 9.99 yards 1.05 yards 1.05 yards 16.92 yards
In order to find the missing side length, we can set up a proportion.
Let's assume the lengths in the two similar figures are given by the ratios L1/L2 = A1/A2, where L1 and L2 represent the corresponding side lengths in the two figures, and A1 and A2 represent the corresponding areas.
If we know the lengths of three sides in the first figure (A, B, and C) and the length of side A in the second figure, we can set up the following proportion:
A1/A2 = L1/L2
In this case, we have the lengths:
A1 = 4 yards
A2 = 9.99 yards (missing side length)
L1 = 4 yards
L2 = 16.92 yards
Plugging these values into the proportion, we get:
4/9.99 = 4/16.92
To find the missing side length, we can solve this proportion for A2:
(4/9.99)*16.92 = A2
Simplifying this, we find:
(0.4004004004004004)*16.92 = A2
A2 ≈ 6.77 yards
Therefore, the missing side length (x) in the two similar figures is approximately 6.77 yards.