Chapter 11.4, Problem 2CYP

To determine

To calculate: The area of the lid to the nearest tenth.

Answer to Problem 2CYP

The area of the lid is $10.6{\text{ feet}}^2$.

Explanation of Solution

Given information: The side length of the lid is $2.5\text{ feet}$ and the apothem is $1.7\text{ feet}$ .

Formula Used: The area of a n-gon having a side of length s is,

  $A=\frac{1}{2}\times s\times p$

• Here, A is the area, s is the side of the n-gon multiplied by the number of sides and p is the apothem.

Calculation:

The length of the side of the lid is $2.5\text{ feet}$ and the apothem is $1.7\text{ feet}$ . There are 5 sides of the lid.

The area of the lid is,

  $\begin{array}{c}A=\frac{1}{2}\times s\times p\\ =\frac{1}{2}\times \left(2.5\times 5\right)\times 1.7\\ =\frac{1}{2}\times 12.5\times 1.7\\ =10.625\\ \approx 10.6{\text{feet}}^2\end{array}$

Hence, the area of the lid is $10.6{\text{ feet}}^2$.