Question

length of a rectangle is 2½ times its breadth. if it's perimeter is 70m, find the length and breadth..??

Plez answer ;-;​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Length is 25 m and Breadth is 10 m

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Length of the Rectangle = $\tt{2 \dfrac{1}{2}}$ of It's Breadth

Perimeter of Rectangle = 70 m

To Find :

The Length and Breadth

Solution :

Consider the Breadth as x

Length will be $\tt{2 \dfrac{1}{2}x}$

★ $\boxed{\sf{Perimeter=2(Length+Breadth)}}$

$\sf{\implies} \: 2\left[x + 2\dfrac{1}{2}x\right] = 70$

$\sf{\implies} \: 2\left[x + \dfrac{5}{2}x\right] = 70$

$\sf{\implies} \: 2x + 5x = 70$

$\sf{\implies} \:7x = 70$

$\sf{\implies} \:x = \dfrac{70}{7}$

$\sf{\implies} \:x = 10$

Breadth = 10 m

$\rule{300}{1.5}$

★ Value of $\tt{2 \dfrac{1}{2}x}$

$\sf{\implies} \: \dfrac{5}{\cancel{2}} \times \cancel{10}$

$\sf{\implies} \: 25$

Length = 25 m

$\therefore$ The Length is 25 m and Breadth is 10 m

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\sf{\implies} \: 2(25 + 10) = 70$

$\sf{\implies} \: 50 + 20 = 70$

$\sf{\implies} \: 70 = 70$

$\therefore$ The Length is 25 m and Breadth is 10 m

Answer 2

Answer -

See the attached image ↑