Question

perimeter of a rectangle is 2 meter less than 2/5 of the perimeter of a square if the perimeter of the square is 40 meter ,find the lenght and the bredath of the rectangle ,given that bradth is 1/3 of lenght​

Answer 1

Step-by-step explanation:

Let length and breadth of rectangle be I and b respectively and perimeter of rectangle be P,And perimeter of square be Q, side ve a

Now, P = 2/5Q - 2 P = 2/5x40-2 (Q = 40 )

2(l+b) = 16-2

l+b = 14/2 l+b = 7.... (1)

Given that, b=1/3x1

3b=l

now, 3b + b = 7

b= 7/4 |= 21/4

$\huge{ son \: prodigal}$

Answer 2

      $\underline{\bold{Answer:}}$

      $\text{ Length of rectangle}=\frac{21}{4} \text{ m}, \text{Breadth of rectangle} = \frac{7}{4}\text{ m}$

      $\underline{\bold{Step-by-step-explaination:}}$

       $\text{Let the length of rectangle be }x$

$\implies \text{Breadth of rectangle}= \frac{1}{3}x$

       $\text{Perimeter of rectangle}= 2(x +\frac{1}{3}x) = \frac{8}{3}x$

       $\text{Perimeter of square} = 40 \text{ m}$

       $\text{The question states that, perimeter of the rectangle is 2 m less than }\frac{2}{5} \\\text{of the perimeter of the square}$

$\implies \boxed{\frac{8}{3}x = \frac{2}{5}(40) - 2 }$

       $\text{Simplifying the equation}$

$\implies \boxed{\frac{8}{3}x = (2)(8) - 2 }$

       $\text{Simplifying the equation}$

$\implies \boxed{\frac{8}{3}x = 16 - 2 }$

       $\text{Simplifying the equation}$

$\implies \boxed{\frac{8}{3}x = 14 }$

       $\text{Transposing 3 to R.H.S}$

$\implies \boxed{8x = 3(14) }$

       $\text{Simplifying the equation}$

$\implies \boxed{8x = 42 }$

       $\text{Transposing 8 to R.H.S}$

$\implies \boxed{x = \frac{42}{8} }$

       $\text{Simplifying the equation}$

$\implies \boxed{x = \frac{21}{4} }$

   $\therefore \text{ Length of rectangle}= x = \frac{21}{4} \text{ m}, \text{Breadth of rectangle}= \frac{1}{3}x = \frac{7}{4}\text{ m}$