Question

55. A square and a rectangle have the same
perimeter. If the side of the square is 16 m
and the length of the rectangle is 18 m, the
breadth of the rectangle is
(a) 14 m (b) 15 m (c) 16 m (d) 17
​

Answer 1

perimeter of square= perimeter of rectangle

4× side = 2(Length+ breadth)

4×16=2(18+breadth)

64=2(18+breadth)

64/2=18+breadth

32=18+breadth

32-18= breadth

14= breadth

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Answer 2

$\huge\mathcal{\purple{զմҽՏԵíօղ:-}}$

$\odot\Large{\mid{ցíѵҽղ :-}}$

$\longrightarrow$ Rectangle and Square have same perimeters.

$\longrightarrow$ Side of the square is 16m

$\longrightarrow$ Length of the Rectangle is 18 m

$\:$

$\odot\Large{\mid{Եօƒíղժ:-}}$

$\longrightarrow$ Breath of the Rectangle.

$\;$

$\odot\Large{\mid{ՏօӀմԵíօղ:-}}$

$\implies$ P. of square = P. of Rectangle

$\implies$ 4 × L = 2 ( L + B )

• After substituting values :

:$\implies$ 4 × 16 = 2 ( 18 + B )

:$\implies$ 64 = 36 + 2B

:$\implies$ 2B = 64 - 36

:$\implies$ B = $\large\cancel{\frac{28}{2}}$

:$\implies$ $\large\mathsf{\underline{\color{teal}{ҍɾҽɑԵհ=14ʍ}}}$

$\:$