Find the dimensions of rectangle whose perimeter is 60 mtr and area is 200 sq mtr.
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Answer. Therefore the dimensions are 10m and 20m.
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Step-by-step explanation:
Let the length and breadth of a rectangle are x.m and y.m respectively , accordingly :-
2.(x+y)= 60. Or x+y = 30. ……………..(1).
and x.y = 200. …………………………….(2)
(x-y)^2. = (x+y)^2 - 4.xy.
(x-y)^2. = (30)^2–4×200.
(x-y)^2. = 100.
or, x - y = 10. …………………………….(3)
Subtracting equation (3) from eqn. (1).
2.y = 20. => y = 20/2 = 10. m. Answer.
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