## 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?

in progress 0
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