Question

1. calculate the quantity of ¾ inch 4 x 8 feet fiberboard (osb) panels needed to cover a roof that has two parts. each part measures 45 feet long and 30 feet wide. (see picture for reference) hint: determine the area for the entire roof and divide that by the area of one 4 foot by 8 foot piece of plywood. 4 pts. 18. (referring to the last question) calculate the cost at lowes and home depot for the necessary quantity of ¾ inch 4 x 8 sheets of fiberboard (osb) panels to cover the roof.

Explanation:

Step1: Calculate roof area

The roof has two parts, each with length $l = 45$ feet and width $w=30$ feet. The area of one - part is $A_1=l\times w=45\times30 = 1350$ square feet. The total area of the roof $A_{roof}=2\times A_1=2\times1350 = 2700$ square feet.

Step2: Calculate area of one panel

The size of one fiber - board panel is $4$ feet by $8$ feet. So the area of one panel $A_{panel}=4\times8=32$ square feet.

Step3: Calculate number of panels

The number of panels $n=\frac{A_{roof}}{A_{panel}}=\frac{2700}{32}=84.375$. Since we can't buy a fraction of a panel, we need to round up to the next whole number. So $n = 85$ panels.

Answer:

85