Question

Constructing a stadium A track and field playing area is in the shape of a rectangle with semi circles at each end. The inside perimeter of the track is to be 1500 meters what should the dimensions of the rectangle be so that the area of the rectangle is a maximum? Constructing a stadium A track and field playing area is in the shape of a rectangle with semi circles at each end. The inside perimeter of the track is to be 1500 meters what should the dimensions of the rectangle be so that the area of the rectangle is a maximum? @Mathematics

Answer 1

jimmy did u got this one??

Answer 2

area = xy + pi(x/2)^2 where x = width and y = length of rectangle

perimeter = 2y + 2pi(x/2) = 1500
y = [ 1500 - 2pi(x/2)] / 2

im not sure sheg - i've assumed he wants maxm area of the whole area - but he wants maxm area of rectangle!! so im confused

Answer 3

i feel as mentioned inside perimeter so perimeter os semi-circles which are inside then
peri-meter of the circle is 2pie*r right

Answer 4

are you sure about the question uhveis?

Answer 5

right

Answer 6

answer should be in the dimension of a square or so,,,,,,,,,its my intution i m not sure logically

Answer 7

yes - if its maxm area of the rectangle then thats a square

Answer 8

there for on solving we will get radius equal to 238.64 m
thus, width of rectangle is 2*238.64 m = 477.28 m

Answer 9

yes

Answer 10

and width will also be same.
\hence dimension of the rectangle will be of a square

Answer 11

yea

Answer 12

is my intution correct @ jimmy

Answer 13

hey uhvei is it a square??????

Answer 14

i think so - if he wants maxm area of rectangle and not the whole field then thats correct.

Answer 15

the question is a bit confusing - i 'm surprised you dont want the maxm area of the whole field. are you studying calculus uhvei?

Answer 16

yeah its a parabola and i'm a girl we want the max of the rectangle i know thats what confused me too

Answer 17

srry im so late iw as trying to figure it out I think i'm on a path of getting it but i'm not sure

Answer 18

size of the rectangle 375 m x 238.73 m