Question

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of c in the drawing below: (6 points) Quadrilaterals LMNO and PQRS are shown. Side LM measures 4, side MN measures 6, side NO measures a, side OL measures 7, side PQ measures 2, side QR measures c, side RS measures 5, side SP measures b.

Answer 1

Answer:

Step-by-step explanation:

As the two pools, Family pool and Dog pool, are similar, their interior angles are equal and their corresponding sides are in the same proportion:

LMNO ~ PQRS

so LM/PQ = MN/QR = NO/RS = OL/SP

substituting in the given values

4/2 = 6/c = a/5 = 7/b

c = 6/2 = 3

a = 5*2 = 10

b = 7/2 = 3.5