Curly used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work and he could use it to cool off after working on it all day. He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck?

Question

Curly used a shovel to dig his own swimming pool.  He figured he needed a pool because digging it was hard work and he could use it to cool off after working on it all day.  He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points.  The pool is rectangular and measures 14 feet by 40 feet.  What is the area of the deck?

Vocaloid · Answer

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the area of the entire rectangle (the deck + the pool) is equal to the area of the deck + the area of the pool.

calculate the width of the entire rectangle (add the width of the pool + the two sides of the concrete border) and the length (same logic, add the length of the pool + the two lengths of the concrete border). calculate L*W to get the area of the entire rectangle.

then calculate the area of the pool (L*W of the pool)

then subtract area of whole rectangle - area of pool to get the area of the deck