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14-07-2021
Mathematics

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Marta's bedroom floor is rectangular is 18 feet long and 15 feet wide. The height of the ceiling is 8 feet. She has 3 rectangular windows that are each 6 feet long and 4 feet wide. She will paint the entire room except the floor and the window. What is the area that Marta will paint?

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14-07-2021

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Answer:

726 ft²

Step-by-step explanation:

The perimeter of the room is ...

P = 2(L+W) = 2(18 +15) = 66 . . . . ft

Then the gross wall area (including windows) is ...

A = LH = (66 ft)(8 ft) = 528 ft² . . . . gross wall area

The area of the 3 windows is ...

A = 3×LW = 3×(6 ft)(4 ft) = 72 ft² . . . . window area

The area of the ceiling is ...

A = LW = (18 ft)(15 ft) = 270 ft² . . . . ceiling area

__

Then the net area to be painted is ...

gross wall area + ceiling area - window area

= 528 ft² +270 ft² -72 ft² = 726 ft²

The area that Marta will paint is 726 ft².

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