Find the area of a rectangular plot whose one side is 24m and its diagonal is 25m
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Answered by
21
Solution :
Dimensions of the rectangular plot :
one side ( a ) = 24 m
Let the second side ( b ) = x m
Diagonal ( d ) = 25m
We know that ,
b² = d² - a²
=( 25 )² - 24²
= ( 25 + 24 )( 25 - 24 )
= 49
=> b = √49
=> b = 7 m
Therefore ,
Area of the rectangular plot = a × b
= 24m × 7 m
= 168 m²
•••••
Dimensions of the rectangular plot :
one side ( a ) = 24 m
Let the second side ( b ) = x m
Diagonal ( d ) = 25m
We know that ,
b² = d² - a²
=( 25 )² - 24²
= ( 25 + 24 )( 25 - 24 )
= 49
=> b = √49
=> b = 7 m
Therefore ,
Area of the rectangular plot = a × b
= 24m × 7 m
= 168 m²
•••••
Answered by
4
Answer:
168 cm2
Step-by-step explanation:
One side of the rectangular plot = 24 cm
Diagonal = 25 m
Let the length of the adjacent side of the given side be x cm
Two adjacent sides of the rectangle and the diagonal forms a right angled triangle.
By Pythagoras theorem,
refer attachment
ignore the negative value
Therefore, breadth of the rectangle is 7 cm.
Area = l x b
= 24 x 7
= 168 cm2.
hope this answer helps you
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