the length of the diagonal of rectangular floor of a room is 2.25 m and that one of its side is 1.44 m. Find area of the floor
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given :-
length of the diagonal of the rectangular floor = 2.25m
length of any of it's side = 1.44m
we know that each side of the rectangle is 90°
so let us take diagonal as the hypotenuse and one of it's side as base.
=> h² = b² + p² (another side)
=> 2.25² = 1.44² + p²
=> 5.0625 = 2.0736 + p²
=> 5.0625 - 2.0736 = p²
=> 2.9889 = p²
=> p = √2.9889
hence, the another side is √2.9889m
now area of the rectangular floor = 1.44 × √2.9889
= 2.48m² (approx)
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Answer
Step-by-step explanation:
Length of diagonal equals to 2.25 m
Length of one side equals to 1.44 m
Let breadth be x
Now, x=√(1.44)^2+x^2 = 2.25
144/100+ x =2.25/100
x= 0.81m
Now,area =l * b = 1.44 * 0.81 =729/125
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