The rectangle shown has a perimeter of 92 cm and the given area. Its length is 6 more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle .

Dimensions are 20cm & 26 cm .

Step-by-step explanation:

Given that the rectangle shown has a perimeter of 92 cm and the given area. Its length is 6 more than three times its width. So let

Now According to Question ,

⇒ Perimeter = 2(l+b)

⇒ 92 cm = 2( x + x + 6 )

⇒ 92 cm = 2(2x + 6)

⇒ 92 cm = 4x + 12

⇒ 4x = ( 92 - 12) cm

⇒ 4x = 80cm

⇒ x = 80cm/4

⇒ x = 20 cm .

So , the lenght will be x + 6 = 26 cm and breadth will be x = 20 cm .

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