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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?

User Yhrn
by
3.3k points

1 Answer

5 votes

Answer:

2.4 gallons

Explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

User Doug Miller
by
3.2k points