Question

The perimeter of a rectangle is 74 metre. The length is 5 metre more than thrice the breadth.find the length and breadth of the rectangle.

Answer 1

here is your answer........

Answer 2

★ $\textsf{\large{Answer :}}$

$\textbf{\underline{The Length is 29m}}$

$\textbf{\underline{The Breadth is 8m}}$

★$\textsf{\large{Explaination :}}$

★ $\textsf{\large{Given :}}$

$\textsf{Perimeter of Rectangle}$ $\textsf{= 74 metre}$

$\textsf{Length of the Rectangle}$ $\textsf{= 5 more than 3 times of of Breadth.}$

★ $\textsf{\large{To find :}}$

$\textsf{Length and Breadth of the Rectangle}$

★$\textsf{\large{Solution :}}$

$\textsf{Consider Breadth as x}$

$\textsf{Length : 5 + 3x}$

$\textsf{Perimeter of Rectangle = }$

$\tt{\large{\rightarrow 2(l + b)}}$

$\tt{\large{\rightarrow2(x + 5 + 3x) = 74}}$

$\tt{\large{\rightarrow2x + 10 + 6x = 74}}$

$\tt{\large{\rightarrow 8x + 10 = 74}}$

$\tt{\large{\rightarrow8x = 74 - 10 }}$

$\tt{\large{\rightarrow 8x = 64}}$

$\tt{\large{\rightarrow x = \dfrac{64}{8} }}$

$\tt{\large{\rightarrow x = \dfrac{\cancel6\cancel4}{\cancel 8}}}$

$\tt{\large{\rightarrow x = 8}}$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{x = 8}}}}}}}$

$\textsf{Breadth = x }$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Breadth = 8m}}}}}}}$

$\textsf{Length = 5 +3x }$

$\tt{\large{\rightarrow5 + (8 \times 3) }}$

$\tt{\large{\rightarrow5 + 24 }}$

$\tt{\large{\rightarrow29m }}$

$\large{\green{\boxed{\green{\boxed{\red{\textsf{Length = 29 m}}}}}}}$

★ $\textsf{\large{Verification}}$

$\tt{\large{\rightarrow 2(29 + 8) = 74}}$

$\tt{\large{\rightarrow 58 + 16 = 74}}$

$\tt{\large{\rightarrow74 = 74 }}$

$\therefore$$\textbf{\underline{The Length is 29m}}$

$\therefore$$\textbf{\underline{The Breadth is 8m}}$