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The length of a rectangle is 6 m less than 3 times its breadth .If the perimeter is 148 m ,find its length and breadth.​

Answer 1

Step-by-step explanation:

߷Given

The length of a rectangle is 6 m less than 3 times its breadth .If the perimeter is 148 m ,find its length and breadth.

✪To Find

• ☼︎Length
• ☼︎Breadth

⍟Let the length and breadth of rectangle be l and b .

✪Solution

We Know,

$\tt\large\underline\orange{\longmapsto"Perimeter .of .Rectangle. =2(L+B)"}$

$\tt\large\underline{\longmapsto2(l+b)=148}$

$\tt\large\underline{\longmapsto(l+b)= \frac{148}{2}=74}$

$\tt\large\underline{\longmapsto \: l+b=(3b−6)+b=74}$

$\tt\large\underline\pink{\longmapsto.4b=74+6=80}$

$\begin{gathered}\:\:\:\:\:\:\:\:\tt\color{aqua}{●\mid} \underbrace{\color{red}{\longmapsto"Subtitute \: Value \: Now}}\color{aqua}{\mid●}\\\end{gathered}●∣$

$\tt\large\underline\red{\longmapsto"b= \frac{80}{4} = 20}$

$\begin{gathered}\:\:\:\:\:\:\:\:\tt\color{aqua}{●\mid} \underbrace{\color{teal}{\longmapsto"l=3b−6=3(20)−6=60−6=54}}\color{aqua}{\mid●}\\\end{gathered}●∣$

Therefore,

$\begin{gathered}\:\:\:\:\:\:\:\:\tt\color{aqua}{●\mid} \underbrace{\color{teal}{\longmapsto"l = 54m \: \longmapsto"b =20m }}\color{aqua}{\mid●}\\\end{gathered}●∣$

★ᕼOᑭᗴ IT ᕼᗴᒪᑭՏ!!

More Information

• ⍟Perimeter of Square

★P = 4 × side.

• ⍟Area of a square

★= Side × Side = S2.

Answer 2

Step-by-step explanation:

$\huge\color{pink}\boxed{\colorbox{Black}{Answer}}$

Refer To The Attachment.

Hope It Helps!!