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

Question

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 2000 square feet. What is the width of the deck?

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3 weeks 2021-12-31T01:53:51+00:00 1 Answer 0 views 0

5 feet

Step-by-step explanation:

We are given that

Width of rectangular pool=b=30 feet

Length of rectangular pool=l=40 feet

Area of rectangle= Using the formula

Area of rectangular pool= Total area enclosed within the perimeter of  the deck= Width of deck=x ft

Length of rectangular pool including wooden deck=40+2x ft

Width of  rectangular pool including wooden deck=30+2x ft

Area of rectangular pool including wooden deck= According to question      (Dividing by 4 on both sides)     It is not possible because width cannot be negative it is always natural number. Hence, the width of the deck=5 ft