Homework Triangles Score 0 ot 5 pts 20 of 20 19 complete 104

Homework: Triangles Score: 0 ot 5 pts, 20 of 20 (19 complete) 10.4.45 rt carpet costs S29 04 per square yard and available in whole square yards only, snd the cost of carpetng the three bedroom foorsin the accompanying foorplan is click the icon to view the noor plan. will cost to carpet the three bedroom floors.

Solution

first we need to find the area of the given bedrooms

we have one master bedroom and two bedrooms all looks like rectangular

we know that the area of the rectangular surface is given by length * width

so

area of master bedroom = length * width = 14 feet * 14 feet = 196 square feet

area of bedroom2 = length * width = 11 feet * 12 feet = 132 square feet

area of bedroom3 = length * width = 11 feet * 12 feet = 132 square feet

now we need to find the total area os all three bedroom which is given by A = area of master bedroom + are of bedroom 2 + area of bedrrom 3

so total area A = 196 + 132 + 132 = 460 square feet

as given carpet costs $29.04 per square yard and is avaiable in whole square yard only

so we need to convert total area of bedroom from square feet to square yard

we know that 1 square feet = (1/9) square yard

so we can say that 460 square feet = 460/9 square yard = 51.11 square yards

so we need to buy 51.11 squre yards of carpet

But as carpet is available in whole square yards only we need to buy 52 square yards of carpet

and carpet costs $29.04 per square yard

so we say that total cost of the carpet is 52 * $29.04 = $1510.08

so it will cost $1510.08 to carpet all three bedrooms