Question

The length of a rectangle is 6m less than three times its breath. Find the dimensions of the rectangle, if its perimeter is 148m​

Answer 1

$\begin{gathered}\small{{{\fcolorbox{lightgreen}{lightgreen}{ {✵ verified \: answer ✵ }}}}} \\ \end{gathered}$

Given :-

• Let breadth = x

• Perimeter of rectangle = 148 m

• Length = 3x-6 m

To Find :-

• Values of length and breadth

Formulae Used :-

$\red{ \boxed{ \sf{perimeter \: of \: rectangle = 2(length + breadth)}}}$

Solution :-

$\ \: { \sf{ 148 \: = 2(3x - 6 + x)}} \\ \\ \ \: { \sf{ \implies \: 148 \: = \: 6x - 12 + 2x}} \\ \\ \ \: { \sf{ \implies \: 148 \: m \: = \: 8x - 12}} \\ \\ \ \: { \sf{ \implies \: 148 + 12 = \:8x }} \\ \\ \ \: { \sf{ \implies \: 8x \: = \: 160}} \\ \\ \ \: { \sf{ \implies \: x \: = \: \frac{160}{8} }} \\ \\ \ \: { \sf{ \implies \: x = \: 20}} \\ \\ \pink { \sf{length = 3x - 6 = 3 \times 20 - 6 = 54 \: m}} \\ \\ \ \pink{ \sf{breadth \: = \: x \: = \: 20 \: m}}$

_______________________________

Answer 2

Answer :-

let the breath of rectangle be x

then lenght.is 3x-6

perimeter of rectangle=2(l+b)

2(x+3x-6)=148m

8x=160

x=160/8

x=20m

and length =3*20-6

54

length =54m