The length of the diagonal of the rectangular floor of a room is 2.25m and that of one of its sides is 1.44 m. Find the area of the floor.
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Answered by
6
Answer:
2.49 m^2 (approx.)
Step-by-step explanation:
Given,
Diagonal length = 2.25 m
one side = 1.44 m
To find : Area of the floor.
Soln.
Since, it is a rectangular floor, we know that,
Diagonal^2 = Length^2 + Breadth^2 ... [Pythagoras principal for right
angles]
Applying the values,
2.25^2 = 1.44^2 + Breadth^2
Breadth^2 = 2.25^2 - 1.44^2 = 5.0625 - 2.0736 = 2.9889
Breadth = sq.root(2.9889) = 1.73 m (approx.)
Now,
Area of rectangular floor = Length * Breadth = 1.44 * 1.73 = 2.49 m^2 (approx.)
Answered by
0
Answer:
2.49 m^2
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