find the area of a rectangular plot, one side of which measures 35m and the diagonal is 37m
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one side, l = 35m
diagonal, d = 37m
let the other side = b
b, d and l will form a right angled triangle.
using pythagoras theorem,
d² = b² + l²
⇒ 37² = b² + 35²
⇒ b² = 37² - 35² = 144
⇒ b = √144 = 12m
thus, length of plot = 35m
breadth = 12m
Area of plot = lb = 35×12 = 420 m²
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Q) Find the area of a rectangular plot,one side of which measures 35m and the diagonal is 37 m.
Answer:-
The answer is 420 m²
Explanation-
the b = 35 m and diagonal= 37 m which also
gives us two right angled triangle. We know
that
(b)² + (l)² gives us the square of the
hypotenuse.
So, we will reverse it means (h)²- (b)² = (l)²
So, (37)² - (35)² = 1369 - 1225 = 144 which is
the square of 12.
Length = 12
Breadth = 35
Area = 12×35= 420 m²
Answer:-
The answer is 420 m²
Explanation-
the b = 35 m and diagonal= 37 m which also
gives us two right angled triangle. We know
that
(b)² + (l)² gives us the square of the
hypotenuse.
So, we will reverse it means (h)²- (b)² = (l)²
So, (37)² - (35)² = 1369 - 1225 = 144 which is
the square of 12.
Length = 12
Breadth = 35
Area = 12×35= 420 m²
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