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14.01.2020 •
Mathematics
The hewitt family is buying carpet for two rooms. the dining room is a square that measures 12 feet on each side. the den is 9 yards by 5 yards. mrs. hewitt has budgeted $2,650 for carpeting both rooms. the green carpet she is considering costs $42.75 per square yard, and the brown carpet’s price is $4.95 per square foot.
how much does it cost to do both rooms in green? $
how much does it cost to do both rooms in brown? $
how much does it cost to do the den in green and the dining room in brown? $
how much does it cost to do the den in brown and the dining room in green? $
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Ответ:
Question 1: $2,607.75
Question 2: $2,717.55
Question 3: $2,636.55
Question 4: $2,688.75
Step-by-step explanation:
Dining room is 12 feet by 12 feet, so area is 12 * 12 = 144 sq. ft.
Den is 9 yards by 5 yards, so area is 9 * 5 = 45 sq. yd.
To get sq. ft. into sq. yards, we divide by (3*3) = 9So, 144 sq ft = 144/9=16 sq. yd.
To get sq. yd. into sq. ft, we multiply by (3*3) = 9So, 45 sq. yd = 45 * 9 = 405 sq. ft.
Hence,
Dining Room:144 sq. ft. OR 16 sq. yd.
and
Den:405 sq. ft. OR 45 sq. yd.
Question1:
How much does it cost to do both rooms in green? $
Green costs 42.75 per square yards. Total area of both room (in yards) is 16 + 45 = 61 sq. yd.
So cost is 61 * 42.75 = $2,607.75
Question2:
How much does it cost to do both rooms in brown? $
Brown costs $4.95 per square foot. Total area of both room (in feet) is 144 + 405 = 549 sq. ft.
So cost is 549 * 4.95 = $2,717.55
Question3:
Area of Den (in sq. yd) is 45. Green costs 42.75 per sq. yd. So
Cost = 45 * 42.75 = $1,923.75
and
Area of Dining (in sq. feet) is 144. Brown costs 4.95 per sq. ft. So
Cost = 144 * 4.95 = $712.8
Total Cost = 1923.75 + 712.8 = $2,636.55
Question4:
Area of Den (in sq ft) is 405. Brown costs 4.95 per sq. ft. So
Cost = 405 * 4.95 = $2,004.75
and
Area of Dining (in sq. yd.) is 16. Green costs 42.75 per square yards. So
Cost = 16 * 42.75 = $684
Total Cost = 2004.75 + 684 = $2,688.75
Ответ: