Answer:
The measure of length of side p is 33 ft
Step-by-step explanation:
Given as the length of the swimming pool measured by drawing similar triangle :
I.e The smaller Triangle similar to larger Triangle
Let o is the points of meeting of two triangles
And OAB is smaller triangle having sides OA , AB , BO
The measure of side OA = 8 ft
The measure of side AB = 12 ft
Again, OPQ is larger triangle having sides OP , PQ , QO
The measure of side OP = 22 ft
The measure of side PQ = p ft
∵ both Δ OAB and ΔOPQ are similar
The from similarity property
[tex]\dfrac{PQ}{AB}[/tex] = [tex]\dfrac{OP}{OA}[/tex]
I.e [tex]\dfrac{p}{12}[/tex] = [tex]\dfrac{22}{8}[/tex]
Or, [tex]\dfrac{p}{12}[/tex] = [tex]\dfrac{11}{4}[/tex]
∴ p = [tex]\dfrac{11}{4}[/tex] × 12
or. p = 11 × 3
I.e p = 33 ft
Hence The measure of length of side p is 33 ft . Answer
