Question

(a) assuming the roof, windows, and door require no stucco, what is the area in square feet that needs stucco? (do not round any intermediate computations and give your answer as a whole number.) 1199 ft² (b) manuel will use stucco that is sold in bags. each bag contains enough stucco to cover 170 ft². assume manuel doesnt have any stucco yet and he cant buy partial bags. how many bags will he need to buy in order to apply stucco to the building? bags (c) if each bag costs $13.50, how much will manuel need to spend on stucco? $

Explanation:

Part (a)

The problem states the area that needs stucco is given as \( 1199\ \text{ft}^2 \) (since it's already provided as the area, maybe from a previous calculation or given directly here). So we just take that value as the area.

Step1: Identify the given area

The area needing stucco is provided as \( 1199\ \text{ft}^2 \).

To find the number of bags, we divide the total area by the area each bag covers. Each bag covers \( 170\ \text{ft}^2 \), and the total area is \( 1199\ \text{ft}^2 \). We use the formula \( \text{Number of bags}=\frac{\text{Total Area}}{\text{Area per bag}} \). Since we can't buy partial bags, we round up to the next whole number.

Step1: Calculate the division

\( \frac{1199}{170}\approx 7.0529 \)

Step2: Round up to the nearest whole number

Since we can't buy a fraction of a bag, we need to round up \( 7.0529 \) to \( 8 \) (because \( 7 \) bags would not be enough to cover the entire area).

To find the total cost, we multiply the number of bags (from part b) by the cost per bag. Each bag costs \( \$13.50 \), and we need \( 8 \) bags.

Step1: Identify the number of bags and cost per bag

Number of bags \( = 8 \), Cost per bag \( = \$13.50 \)

Step2: Calculate total cost

\( \text{Total Cost}=\text{Number of bags}\times\text{Cost per bag}=8\times13.50 = 108.00 \)

Answer:

\( 1199\) square feet

Part (b)