the perimeter of a rectangle is 40 cm. the length of the rectangle is more than double its breadth by 2. find the length and breadth.
Answers
Answered by
221
2(l+b)=40
l-2b=2
So l=2b +2 ..........(1)
So 2(2b+2+b)=40
2(3b+2)=40
3b+2=20
So b=6cm
And length l =14cm (from (1))
Hope it helps u dood..
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Answered by
124
Answer:
Length = 14 cm,
Breadth (b) = 6 cm
Step-by-step explanation:
Dimensions of the rectangle:
Let breadth = b cm
Length (l) = 2b+2 [given]
Now ,
Perimeter (P) = 40 cm
/* given*/
2(l+b)=40
=> 2(2b+2+b) = 40
=> 2(3b+2)=40
Divide both sides by 2, we get
=> 3b+2 = 20
=> 3b = 20-2
=> 3b = 18
Divide each term by 3, we get
=> b = 6
Therefore,
Breadth (b) = 6 cm
Length (l) = 2b+2
= 2×6+2
= 12+2
= 14 cm
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