A rectangular pool is 30 feet wide and 40 feet long. It is surrounded on all four sides by a wooden deck that is x feet wide. The total area enclosed within the perimeter of the deck is 2784 square feet. What is the width of the deck?

the width of the deck is 18 feet

Step-by-step explanation:

Let x represent the width of the deck.

If rectangular pool is 30 feet wide, it means that the total width of the pool including the wooden deck is

(30 + x) feet

If rectangular pool is 40 feet long, it means that the total length of the pool including the wooden deck is

(40 + x) feet

The total area enclosed within the perimeter of the deck is 2784 square feet. This means that

(30 + x)(40 + x) = 2784

1200 + 30x + 40x + x² = 2784

x² + 70x + 1200 - 2784 = 0

x² + 70x - 1584 = 0

x² + 88x - 18x - 1584 = 0

x(x + 88) - 18(x + 88) = 0

x - 18 = 0 or x + 88 = 0

x = 18 or x = - 88

since the width cannot be negative, then x = 18

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2

idn

step-by-step explanation: