Question

The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle. ​

Answer 1

Given :

• Length of rectangle is 6m more than breadth
• Perimeter of rectangle = 60 m

To find :

• The Length and the Breadth

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

1. Length = 18 m
2. Breadth = 12 m

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