Question

length of a rectangle exceeds its breadth by 4 . if the perimeter of the rectangle is 84 m, find its length and breadth
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Answer 1

Answer:

hey here is your answer with tu method

Answer 2

Given information

• ↠Length of a rectangle exceeds its breadth by 4 .
• ↠Perimeter of the rectangle is 84m

What we have to find

❏ we have to find length of rectangle and breadth of rectangle

The Formula of finding Perimeter of rectangle

• ➲ Perimeter Of Rectangle = 2 (l + b)

Where ,

• ↠l = length
• ↠b = breadth

Finding length & breadth of rectangle

First consider that the length (l) is x + 4 and breadth (b) is x

As we know

↠ Perimeter of rectangle = 2 (l + b)

• Submitting values

↠ Perimeter of rectangle = 2 (x + 4 + x)

• On Adding x and x we get 2x

↠ Perimeter of rectangle = 2 (2x + 4)

• Putting value of perimeter 84 (as given)

↠ 84 = 2(2x + 4)

• Opening bracket and multiply 2x + 4 by 2

↠ 84 = 4x + 8

• Transferring sides

↠ 84 - 8 = 4x

• Subtracting 84 by 8

↠ 76 = 4x

• Again transferring sides

↠ x = 76/4

• Dividing 76 by 4

↠ x = 19

Finding out length and breadth of rectangle

For breadth

↠breadth of rectangle = x

• putting value of x

↠breadth of rectangle = 19 m

For length

↠length of rectangle = x + 4

• putting value of x

↠length of rectangle = 19 + 4

• On adding

↠length of rectangle = 23 m

Hence the length of rectangle is 23m and breadth of rectangle is 19m

$\underline{ \rule{80mm}{0.5mm}}$

$\large{ \pink{ \underline\textbf{Rectangle \: diagram} }} \\ \\ \\ \begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\begin{gathered} \sf{breadth = 19 \:m} \: \: \: \huge\boxed{ \begin{array}{cc} \: \: \: \: \: \\ \: \: \qquad\: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{length = 23 \: m} \end{gathered}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \\ \\ \\ \\ \\ \\ \bf{ \underline{yugant1913}}$