Question

the length of a rectangle is ⅓of it's breadth.if it's perimeter is 64 m,then find length and breadth of a rectangle​

Answer 1

Answer:

Length = 8 metre and Breadth = 24 metre

Step-by-step explanation:

Length = 1/3×Breadth  

L = 1/3×B  

Perimeter= 2(L+B)

 

64 = 2(1/3×B+B)  

32 = 4/3×B

 

B = 32×3/4  

B = 8×3  

B = 24

L = 1/3×B  

L = 1/3×24  

L = 8

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HOPE THIS HELPS.

Answer 2

Answer:

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Let length & breadth of rectangle be l and ‘6’ respectively

Given that length is 1/3 of breadth,

∴ l = 1/3 x b ⇒ l = b/3

⇒ b = 3l …..(1)

Also given that perimeter is 64 m Perimeter

= 2 x (l + b) 2 x l + 2 x b = 64

Substituting for value of b from (1),

we get 2l + 2(3l) = 64

∴ 2l + 6l = 64 8l = 64 ∴ l

= 64/8 = 8 m b = 3l = 3 x 8 = 24 m length l

= 8 m & breadth h = 24 m