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Painters, Inc. has a contract to paint four rooms all the same color.The sizes of the four rooms are 10' X 10' X 8'; 6' X 9' X 8';14' X 16' X 9'; and 12' X 13' X 8'. The paint they select covers 400square feet per gallon. The paint costs $11.99 per gallon. Calculate howmuch Painters, Inc. will spend on paint for this job.

1 Answer

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Given the sizes of four rooms:

10' X 10' X 8';

6' X 9' X 8';

14' X 16' X 9';

12' X 13' X 8'.

For each room, we find the total area:

The total area of the first room = 2 ( 10x10 + 10x8 + 10x8 ) = 560 square feet

The total area of the second room = 2(6x9 + 9x8 + 6x8 ) = 348 square feet

The total area of the third room = 2(14x16 + 16x9 + 9x14 )= 988 square feet

The total area of the fourth room = 2(12x13 +13x8 +8x12 ) = 712 square feet

so, the total area of the four rooms = 560 + 348 + 988 + 712 = 2,608 square feet

Given: The paint they select covers 400 square feet per gallon.

so, the number of gallons = 2608/400 = 6.52

So, the number of gallons required to cover the rooms = 7 gallons

Given: the paint costs $11.99 per gallon

So, the total cost = 7 * 11.99 = $83.93

User Sagar Waghmare
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