The pool at a resort needs a fence added around its lounge area for safety. The pool measures 20 feet by 40 feet and the lounge area is 10 feet on each side of the pool. How much fence is needed to go around all four sides of the lounge area?

The amount of fence needed to surround the mentioned space is:

Step-by-step explanation:

To identify the amount of fence, you must take all the measurements given in the exercise:

As each side has 10 additional feet, that is the lounge area, you must add 20 feet to each side of the pool, this is because, in the case of the width, you must add 10 feet to the right side and 10 feet to the left side, in the case of the length, you must add to each side 10 feet to the upper part and 10 feet to the lower part, in this form, the measurements of the fence must be:

As you know, the length has two sides and the length has two sides too, by this reason, we must multiply each value by 2 to obtain the amount of fence  to all four sides of the lounge area:

As you can see, the amount of fence needed to go around the lounge area is 200 feet.

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step-by-step explanation: