the ratio of length to breadth of a rectangular fieldis 4 is to 3 . if its diagnal is 200m the area of the field in square meters
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Let,
Lenght, L =4k
Breadth, B = 3k
By Pythagoras Theorem
L^2 + B^2 = 200^2
16k^2 + 9k^2 = 40000
25k^2 = 40000
k^2 = 1600
k = 40
Therefore,
L = 4k = 4*40 = 160
B = 3k = 3*40 = 120
Lenght, L =4k
Breadth, B = 3k
By Pythagoras Theorem
L^2 + B^2 = 200^2
16k^2 + 9k^2 = 40000
25k^2 = 40000
k^2 = 1600
k = 40
Therefore,
L = 4k = 4*40 = 160
B = 3k = 3*40 = 120
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