Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side SP. Round your answer to the nearest tenth if necessary.
To find the measure of side SP, we can set up a proportion using the corresponding sides of the two similar quadrilaterals.
Let's denote the lengths of sides LM, NO, SP, and QR as x, y, a, and b respectively.
From the given information, we know that LMNO is similar to PQRS, so we can set up the following proportion:
SP/QR = NO/RS
Substitute the values:
a/b = y/x
Now we know that sides NO and RS measure 12 units and 15 units respectively. We can substitute these values into the proportion:
a/15 = 12/x
Cross multiply:
ax = 12*15
ax = 180
a = 180/x
Now we need to find the measure of side SP, so we substitute the given length of NO into the equation:
12 = 180/x
x = 180/12
x = 15
Therefore, the measure of side SP is equal to 15 units.