The length of a rectangle is 6m less than three times its breath. Find

1.	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» $\begin{gathered}\small{{{\fcolorbox{lightgreen}{lightgreen}{ {✵ verified \: answer ✵ }}}}} \\ \end{gathered}$ 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 :- $\ \: { \sf{ 148 \: = 2(3x - 6 + x)}} \\ \\ \ \: { \sf{ \implies \: 148 \: = \: 6x - 12 + 2x}} \\ \\ \ \: { \sf{ \implies \: 148 \: m \: = \: 8x - 12}} \\ \\ \ \: { \sf{ \implies \: 148 + 12 = \:8x }} \\ \\ \ \: { \sf{ \implies \: 8x \: = \: 160}} \\ \\ \ \: { \sf{ \implies \: x \: = \: \frac{160}{8} }} \\ \\ \ \: { \sf{ \implies \: x = \: 20}} \\ \\ \pink { \sf{length = 3x - 6 = 3 \times 20 - 6 = 54 \: m}} \\ \\ \ \pink{ \sf{breadth \: = \: x \: = \: 20 \: m}}$ _______________________________

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»

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

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 :-

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