Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side SP. Round your answer to the nearest tenth if necessary.

Question

L
M
N
O
P
Q
R
S
5
9
18.6
Answer
Attempt 1 out of 2

Answer 1

First, we need to find the scale factor between the two similar quadrilaterals. The scale factor is determined by comparing corresponding sides.

LM is to PQ
MN is to QR
NO is to RS
OL is to SP

Let LM be x.

LM/PQ = 5/9
x/18.6 = 5/9
9x = 93
x = 10.33

Therefore, the scale factor is 10.33/18.6 = 0.556.

Now, we can find the measure of side SP:
OL = 5 * 0.556 = 2.78

Therefore, the measure of side SP is 2.8 (rounded to the nearest tenth).