Question

If a length of a rectangle is 1/3 of its breadth , its perimeter is 64 metre , find the length and breadth of the 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

Answer 2

The length and breadth are 5.33 m and 16 m respectively.

Step-by-step explanation:

Since we have given that

Perimeter of rectangle = 64 meter

Let the breadth of rectangle be 'x'.

Let the length of rectangle be $\dfrac{1}{3}x$

As we know the formula for "Perimeter of rectangle":

$2(Length+Breadth)=64\\\\2(\dfrac{1}{3}x+x)=64\\\\\dfrac{x+3x}{3}=\dfrac{64}{2}\\\\\dfrac{4x}{2}=32\\\\2x=32\\\\x=\dfrac{32}{2}\\\\x=16$

So, length would be $\dfrac{1}{3}\times 16=5.33$

Hence, the length and breadth are 5.33 m and 16 m respectively.

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