Answer:
Explanation:
pool tables are rectanglar
Perimeter = 2L + 2W = 2(L+W) ---->>> Perimeter/2 = L + W =
Perimeter/2 - W = L
Area = L×W
Two equations and two unknowns and L is substituted into the area equation
---->> Area = (Perimeter/2 - W) x W
Area = (Perimeter x W)/2 - W² solve for W
Area = 36 and Perimeter = 26
36 ft² = (26)( W)/2 ft - W² ft²
36 ft² = 13W ft - W² ft²
W² - 13W + 36 = 0 quadratic equation factor solve for W
(W - 4)(W - 9) = 0
There are two roots
W - 4 = 0 and W - 9 = 0
W = 4 and 9 W = 9 it doesn't make sense needs to be < L
Perimeter/2 - W = L
L = 26/2 - W
= 13 - 4
L = 9 ft and W = 4 ft