Question

the length of a rectangle plot is 6 m less than thrice it's breadth . find the dimensions of the plot if it's perimeter is 148 m​

Answer 1

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.

Answer 2

length of a rectangle is 6 less than 3 times its width"

L = 3W-6

"perimeter of the rectangle is 148 meters"

2L + 2W = 148

L + W = 74

(3W-6) + W = 74 4

W = 80

W = 20 m

L = 3W-6 = 54 m