Question

The area of a rectangle is 259 cmand its length
is 18.5 cm. Find
(i) its breadth,
ii) its perimeter.

Answer 1

area = 259

length = 18.5

and breadth= b {let}

area = l× b

259= 18.5×b

b= 259/18.5

further divided it and you will get your answer

Answer 2

${\large{\pmb{\sf{\underline{RequirEd \; Solution...}}}}}$

${\bigstar \:{\pmb{\sf{\underline{About \: Question...}}}}}$

⋆ Correct question: The area of a rectangle is 259 cm sq. and it's length is 18.5 cm. Find it's breadth and perimeter.

⋆ Understanding the question: This question says that we have to find out the breadth and perimeter of a rectangle whose area is given as 259 centimetres sq. and it's length is given as 18.5 centimetres. Let's solve this question!

${\bigstar \:{\pmb{\sf{\underline{Figure...}}}}}$

⋆ A figure that tell us about the structure of a rectangle:

$\begin{gathered} \sf Length \: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf Breadth \end{gathered}$

${\bigstar \:{\pmb{\sf{\underline{Given \: that...}}}}}$

⋆ A rectangle is given

⋆ Area is 259 sq. cm

⋆ Length is 18.5 cm

${\bigstar \:{\pmb{\sf{\underline{To \: find...}}}}}$

⋆ Perimeter of rectangle

⋆ Breadth of rectangle

${\bigstar \:{\pmb{\sf{\underline{Solution...}}}}}$

⋆ Perimeter of rectangle = 65 cm

⋆ Breadth of rectangle = 14 cm

${\bigstar \:{\pmb{\sf{\underline{Using \: concepts...}}}}}$

⋆ Formula to find area of rectangle

⋆ Formula to find perimeter of rectangle

${\bigstar \:{\pmb{\sf{\underline{Using \: formulas...}}}}}$

${\small{\underline{\boxed{\sf{\star \: Perimeter \: of \: rectangle \: = 2(l+b)}}}}}$

${\small{\underline{\boxed{\sf{\star \: Area \: of \: rectangle \: = l \times b}}}}}$

⠀⠀⠀⠀⠀⠀(Where, l denotes length and b denotes breadth)

${\bigstar \:{\pmb{\sf{\underline{Full \: Solution...}}}}}$

~ Firstly let us find the breadth of rectangle by using the formula to find the area of rectangle as area is already provided to us. Let's do it!

$:\implies \sf Area \: of \: rectangle \: = l \times b \\ \\ :\implies \sf 259 \: = 18.5 \times b \\ \\ :\implies \sf \dfrac{259}{18.5} \: = b \\ \\ :\implies \sf \dfrac{2590}{185} \: = b \\ \\ :\implies \sf \dfrac{518}{37} \: = b \\ \\ :\implies \sf 14 \: = b \\ \\ :\implies \sf b \: = 14 \: cm$

Henceforth, breadth of the given rectangle we get is 14 centimetres.

~ Now as we are already provided with the length and we already get the breadth too. Now are we able to find the perimeter? Yes, we are! So let's find the perimeter of the rectangle by using suitable formula. Let's solve this!

$:\implies \sf Perimeter \: of \: rectangle \: = 2(l+b) \\ \\ :\implies \sf Perimeter \: of \: rectangle \: = 2(18.5+14) \\ \\ :\implies \sf Perimeter \: of \: rectangle \: = 2(32.5) \\ \\ :\implies \sf Perimeter \: of \: rectangle \: = 65.0 \: cm$

Henceforth, we get 65.0 centimetres as the perimeter of given rectangle.