the length of the rectangular field is 3 times its breadth if the area of the field is 147sqm find its length and breadth
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Step-by-step explanation:
LET LENGTH BE L AND BREATH BE B
ACC. TO QUESTION,
L=3B -----------(1)
ALSO,
L*B = 147 ----------( 2)
FROM (1),
3B*B = 147
3B² = 147
B² = 147/3
B²= 49
B =√49
B= 7
ALSO L = 3B = 3*7 = 21
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Question:-
- The length of the rectangular field is 3 times its breadth if the area of the field is 147sqm find its length and breadth.
Given that:-
- The length is three times it's breadth.
- Area is rectangle is 147sqm.
To Find:-
- Find the length and breadth.
Let us assume:-
- Breadth be ‘ x ’
- Length be ‘ 3x ’
Solution:-
➝ Area = length × breadth
➝ 147 = 3x × x
➝ 147 = 3x²
➝ x² = 147/3
➝ x² = 49
➝ x = √49
➝ x = 7
Hence ,
- Breadth is x = 7 cm
- Length is 3x = 21 cm
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