A large conference table is made from four rectangular sections and four corner sections.Each rectangular section is 4m long and 1.2m wide.Each corner is a quarter circle, radius 1.2mEach person sitting at the corner table requires one meter of its outside perimeter.Calculate the greatest number of people who can sit around the outside of the table
Answers
the total width = 1.2x2=2.4m
perimeter = 2(l+b)=2x8+2.4=20.8m
area= lxb = 8x2.4 = 19.2m
Answer:
Step-by-step explanation:
First find the perimeter
Because it has curved sides, you need to find the arc length of each side.
Arc length = 90/360 x 2x pi x 1.2 = 3/5 pi , as there are 4 arc lengths to find, multiply answer by 4 to get all .
You will end up with : 12/5 pi
Add 12/5 pi to 4 + 4 +1.2+1.2, to find full perimeter = 17.93982237
As each person sitting needs 1 meter of its outside perimeter , imagine a person sitting in the center of a box of sides 1 m . To get the perimeter, add all sides, which will then give you 4 m.
After this, divide the perimeter of the table by the perimeter of the one person = 17.9... / 4 to find how many can fit fully. This will then give you 4.484955592 . Add this number to the perimeter of the table as there has been an added length due the requirement of the “1 meter of the outside perimeter” you will then get 22.42477796 m. As they said that we must calc the greatest amount of people, upper bounds must be used . The 1 meter must be divided by 2 giving us 0.5 . This then needs to be added to 22.42... giving us 22.9... which will round to 23 .