A rectangular sheet of paper has the area 24 sq. meters. The margin at the top and bottom is 75 cm and sides 50 cm each. What are the dimensions of paper if the area of the printed space is maximum ?
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Answer:
6 * 4 m
Step-by-step explanation:
A rectangular sheet of paper has the area 24 sq. meters. The margin at the top and bottom is 75 cm and sides 50 cm each. What are the dimensions of paper if the area of the printed space is maximum ?
Let say Length =x m
then other side = 24/x m
Dimension of Printed area = x - 1.5 m & 24/x - 1
Area = (x - 1.5)((24/x - 1)
=> Area = 24 -x -36/x -2.5
=>A = -x - 36/x + 21.5
dA/dx = -1 + 36/x²
dA/dx = 0 for max area
-1 + 36/x² = 0
=> -x² + 36 = 0
=> x² = 36
=> x = 6
Length = 6m
Other side = 4 m
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