Q: Jesse’s rooms are 19 feet long and 18 feet wide. If she has 20 rooms in all. How much carpet does she need to cover the floors of all rooms? A: Let’s first understand the problem, extract relevant variables and their corresponding numerals, and make and device a complete plan. Then, let’s carry out the plan, calculate intermediate variables (pay attention to correct numerical calculation and commonsense), solve the problem step by step, and show the answer.
Sure! Let's start by understanding the problem.
Jesse has 20 rooms, and each room is 19 feet long and 18 feet wide. We need to find out how much carpet is required to cover the floors of all 20 rooms.
The formula for calculating the area of a rectangular room is: Area = Length x Width
In this case, the length and width of each room are given as 19 feet and 18 feet respectively. So, the area of one room would be:
Area = 19 x 18 = 342 square feet
Since there are 20 rooms, we need to multiply the area of one room by 20 to get the total area of all rooms:
Total Area = 342 x 20 = 6,840 square feet
Now, we need to convert the total area from square feet to square yards. There are 9 square feet in a square yard, so:
Total Area (in square yards) = 6,840 / 9 = 760 square yards
Finally, we need to round up the result to the nearest whole number, since you can't have a fraction of a square yard of carpet.
Rounded Total Area (in square yards) = 760.5 → 761 square yards
Therefore, Jesse needs approximately 761 square yards of carpet to cover the floors of all 20 rooms.
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