The length of a rectangular play ground is 10 metres more than twice its width. If the perimeter of the play ground is 200 metres, what is its length?
Answers
Answered by
12
Answer:
55 m
Step-by-step explanation:
Given that,
The length of a rectangular play ground is 10 metres more than twice its width.
Let, the width be x m.
Therefore, we will get,
=> Length = (x+10) m
Now, it's given that,
Perimeter of the play ground = 200 m
But, we know that,
Perimeter of rectangle = 2(length+width)
Therefore, we will get,
=> 2(x + x + 10) = 200
=> 2x + 10 = 200/2
=> 2x + 10 = 100
=> 2x = 100 - 10
=> 2x = 90
=> x = 90/2
=> x = 45
Therefore, we have,
=> x + 10 = 45+10 = 55
Hence, the required Length is 55 m.
Answered by
4
Answer:
70 m
Step-by-step explanation:
let length =L AND breadth =B
PERIMETER=200m
2(L +B)=200
BUT GIVEN LENGTH=2(BREADTH) +10
2(2B + 10 + B)= 200
2(3B + 10)=200
6B +20= 200
B=30
AND L= 2B+ 10
2*30 + 10=70 ANSWER
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