Question

The length of a rectangle plot is 6 m less than thrice its breadth. Find the dimensions of the plot if its perimeter is 148 m. ​

Answer 1

Step-by-step explanation:

Let the breadth of a rectangle = x m.

Thrice its breadth=3x m

Length of a rectangle= 3x-6 m

Perimeter of a rectangle = 2(l+b)

=2(3x−6+x)

=2(4x−6)

=8x−12

But we are given perimeter=148 m

8x−12=148

8x=148+12

8x=160

x=20 metres

Breadth=x= 20 metres

and Length=3x−6=3×20−6=60−6=54 metres.

Answer 2

Answer:

Let the breadth of a rectangle = x m.

Thrice its breadth=3x m

Length of a rectangle= 3x-6 m

Perimeter of  a rectangle = 2(l+b)

=2(3x−6+x)

=2(4x−6)

=8x−12

But we are given perimeter=148 m

8x−12=148

8x=148+12

8x=160

x=20 metres

Breadth=x= 20 metres

and Length=3x−6=3×20−6=60−6=54 metres.