Answer:
length = 200 m
width = 400 m
Step-by-step explanation:
Let the length of the plaing area is L and the width of the playing area is W.
Length of fencing around three sides = 2 L + W = 800
W = 800 - 2L ..... (1)
Let A is the area of playing area
A = L x W
A = L (800 - 2L)
A = 800 L - 2L²
Differentiate with respect to L.
dA/dL = 800 - 4 L
It is equal to zero for maxima and minima
800 - 4 L = 0
L = 200 m
W = 800 - 2 x 200 = 400 m
So, the area is maximum if the length is 200 m and the width is 400 m.
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
The amount it is increasing by, 3 is added each time.
Answer:
40
Step-by-step explanation:
3u-> 60
1u-> 20
2u->40
The Cost of installing the artificial soccer pitch is $5360
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The soccer pitch us rectangle in shape. Hence:
Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters
Cost of installing the pitch = $20 per meter * 268 meters = $5360
The Cost of installing the artificial soccer pitch is $5360
Find out more on perimeter at: brainly.com/question/16596982