the length of a rectangle is to centimetre more than twice of its breadth its perimeter is 28 cm find its length and breadth using algebra take breath as X and length as y
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0
Answer:
length 28/3 cm breadth 14/3 cm
Answered by
4
Answer:
- length = 10cm
- breadth = 4cm
Explanation:
In a rectangle the length is 2 more than twice its breadth and its perimeter is 28 cm
Let's say that the length is x
And its breadth is y
According to the given question,
⇒ x = 2 + 2y . . . . . .(i)
We know that,
Perimeter of a rectangle = 2(x + y)
⇒ 28 = 2(2 + 2y + y)
From eq.(i) :-
⇒ 28 = 2(2 + 3y)
⇒ 28 = 4 + 6y
⇒ 28 - 4 = 6y
⇒ 24 = 6y
⇒ 24/6 = y
⇒ 4 = y
Therefore ,the breadth is 4 cm
Hence the length is :-
⇒x = 2 + 2y
⇒ 2 + 2(4)
⇒ 2 + 8 = 10cm
________________________
Formula used :-
- Perimeter of a rectangle = 2(l + b)
Where,
- ‘l’ denotes the length
- ‘b’ denotes the breadth
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