Question

The breadth of a rectangle is
of its length. If the perimeter is 100m, find its
dimensions.
​

Answer 1

Answer:

25,25

Step-by-step explanation:

Let length of the rectangle be x metres

It's told that the length is same as the breadth

So, length of the rectangle =breadth of the rectangle= x metres

Given, perimeter of rectangle = 100 m

or, 2(length+breadth) = 100 m

or, 2(x+x) = 100 m

or, 2 x = (100/2) m

or, 2 x = 50 m

or, x = (50/2) m

or, x = 25 m

Therefore, the length of the rectangle is 25 metres    and

since the length of the rectangle = breadth of the rectangle

breadth of the rectangle = 25 metres

Answer 2

ANSWER✔

$\large\underline\bold{GIVEN,}$

$\sf\dashrightarrow BREADTH \:OF\:A\:RECTANGLE\:IS\:EQUAL\:TO\:THE\:LENGTH$

$\sf\dashrightarrow taking\:LENGTH(L)=x\:m$

$\sf\therefore BREADTH(B)\:WILL\:BE\:ALSO\:x\:m$

$\sf\dashrightarrow \:PERIMETER\:OF\:A\:RECTANGLE\:=100m$

$\large\underline\bold{TO\:FIND,}$

$\sf\dashrightarrow DIMENSIONS (LENGTH\:AND\:BREADTH\:OF\:A\:RECTANGLE)$

✯FORMULA IN USE,

$\large{\boxed{\bf{ \star\:\: PERIMETER\:OF\:RECTANGLE= 2 \times (length+breadth)\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\sf\therefore perimeter\:of\:rectangle=2(l+b)$

$\sf\implies 100=2 \times (x+x)$

$\sf\implies 100= 2 \times (2x)$

$\sf\implies 100=4x$

$\sf\implies x= \dfrac{100}{4}$

$\sf\implies x=\cancel \dfrac{100}{4}$

$\sf\implies x=25$

$\large{\boxed{\bf{ \star\:\: x=25cm\:\: \star}}}$

$\large\underline\bold{THE\:LENGTH\:AND\:BREADTH\:OF\:A\:RECTANGLE\:IS\:25cm.}$

_______________________

✯REFER THE DIAGRAM,

$\setlength{\unitlength}{1.6mm}\begin{picture}(5,6)\put(0,25){\line(1,0){35}}\put(0,0){\line(1,0){35}}\put(0,0){\line(0,1){25}}\put(35,0){\line(0,1){25}}\put(17,-2){76cm}\put(18,-2){}\put(35,15){8cm}\put(18,0){ }\end{picture}$