Question

a pool measures 14 feet by 23 feet and it is surrounded by a 7 - foot deck. how much fencing is needed to fence the outside of the deck? the length of fence required to enclose the outside of the deck is □ feet.

Explanation:

Step1: Find the length of the deck's outer rectangle

The pool is 23 feet long, and the deck adds 7 feet on both ends. So the outer length is $23 + 7 + 7 = 37$ feet.

Step2: Find the width of the deck's outer rectangle

The pool is 14 feet wide, and the deck adds 7 feet on both ends. So the outer width is $14 + 7 + 7 = 28$ feet.

Step3: Calculate the perimeter of the outer rectangle

The formula for the perimeter of a rectangle is $P = 2\times (length + width)$. Substituting the values, we get $P = 2\times (37 + 28) = 2\times 65 = 130$ feet.

Answer:

130