Question

the perimeter of a rectangle is 40 cm. The length of the rectangle is more than double its breadth by 2 . find length and breadth​

Answer 1

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Answer 2

Answer:

Length of the rectangle is 14 cm.

Breadth of the rectangle is 6 cm.

Step-by-step-explanation:

Let the length of the rectangle be x cm.

And the breadth of the rectangle be y cm.

From the first condition,

Perimeter of rectangle = 40

➞ 2 ( x + y ) = 40

➞ x + y = 20 - - - ( 1 )

[ Dividing both sides by 2 ]

From the second condition,

Length = 2 × breadth + 2

➞ x = 2y + 2

➞ x - 2y = 2 - - - ( 2 )

Subtracting equation ( 2 ) from equation ( 1 ), we get,

x + y = 20 - - - ( 1 )

- x - 2y = 2 - - - ( 2 )

(-) (+) (-)

______________

3y = 18

➞ y = $\sf\:\frac{18}{3}$

➞ y = 6

By substituting y = 6 in equation ( 1 ), we get,

x + y = 20 - - - ( 1 )

➞ x + 6 = 20

➞ x = 20 - 6

➞ x = 14

Length of the rectangle is 14 cm.

Breadth of the rectangle is 6 cm.