A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60 feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet, how many gallons will the muralist use?____ gallons
Q. A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60 feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet, how many gallons will the muralist use?____ gallons
Calculate Wall Height: Calculate the height of the wall using the Pythagorean theorem, given the diagonal and length of the rectangle.height2+length2=diagonal2height2+602=682height2+3600=4624height2=4624−3600height2=1024height=1024height=32 feet
Calculate Wall Area: Calculate the area of the wall using the length and height.Area = length×heightArea = 60feet×32feetArea = 1920square feet
Determine Paint Gallons: Determine the number of gallons of paint needed using the area and coverage per gallon.Number of gallons = Coverage per gallonAreaNumber of gallons = 800 square feet per gallon1920 square feetNumber of gallons = 2.4
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