## Related questions with answers

Kim is building a large gazebo for her backyard. It is in the shape of a regular hexagon. Each side of the gazebo is 12 feet long. The apothem is 10.4 feet. She needs to purchase stones for the floor. It costs $9.50 per square foot for a special type of interlocking stone. Find the cost of the gazebo's floor. Round to the nearest ten dollars.

Solution

VerifiedDetermine the area of the given gazebo with the shape of a regular hexagon. Let $a$ be the apothem and $p$ be the perimeter.

$\begin{align*} A &= \dfrac{1}{2}ap && \text{Write the equation}\\ A &= \dfrac{1}{2}(10.4)(12 \cdot 6) && \text{Substitute the values}\\ A &= \dfrac{1}{2}(10.4)(72) && \text{Multiply the values}\\ A &= 374.4 && \text{Multiply the values} \end{align*}$

The area of the gazebo is 374.4 square feet. Determine the cost of the gazebo's floor.

$\begin{gather*} 374.4 \times 9.50 = \$3,556.80 = \$3560 \end{gather*}$

## Create an account to view solutions

## Create an account to view solutions

## Recommended textbook solutions

#### Financial Algebra

1st Edition•ISBN: 9780538449670 (1 more)Richard Sgroi, Robert Gerver#### Financial Algebra: Advanced Algebra with Financial Applications

2nd Edition•ISBN: 9781337271790Richard Sgroi, Robert Gerver#### Practice Problems for Financial Algebra: Advanced Algebra with Financial Applications

2nd Edition•ISBN: 9781337271820Robert Gerver## More related questions

1/4

1/7