Question

the area of a rectangular sheet si 500cm2. if the length of the sheet is 25cm what is its width of 17 cm​

Answer 1

${\large{\pmb{\sf{\underline{Correct \; Question...}}}}}$

★ The area of a rectangular sheet is 500 cm², if the length of the sheet is 25 cm then what is it's width?

${\large{\pmb{\sf{\underline{Understanding \; the \; Question...}}}}}$

★ This question says that we have to find out the breadth or width of a rectangular sheet and it's area is 500 centimetres sq. and the length of a rectangular sheet is given as 25 centimetres.

Common diagram for a rectangle without diagonals is given below -

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

${\large{\pmb{\sf{\underline{Given \; that...}}}}}$

★ Area of rectangular sheet = 500 cm²

★ Length of rectangular sheet = 25 cm

${\large{\pmb{\sf{\underline{To \; find...}}}}}$

★ Breadth of rectangular sheet.

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

★ Breadth of rectangular sheet = 20 cm

${\large{\pmb{\sf{\underline{Using \; concept...}}}}}$

★ Formula to find out the area of a rectangle.

${\large{\pmb{\sf{\underline{Using \; formula...}}}}}$

Area of rectangle is given by,

${\small{\underline{\boxed{\sf{Length \times Breadth}}}}}$

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

$\sf \underset{\sf Area \: of \: rectangle}{\underbrace{\small{\boxed{\purple{\sf{Length \times Breadth}}}}}} \\ \\ :\implies \sf Area \: of \: rectangle \: = Length \times Breadth \\ \\ :\implies \sf 500 \: = 25 \times Breadth \\ \\ :\implies \sf \dfrac{500}{25} \: = Breadth \\ \\ :\implies \sf \cancel{\dfrac{500}{25}} \: = Breadth \\ \\ :\implies \sf \cancel{\dfrac{100}{5}} \: = Breadth \\ \\ :\implies \sf \dfrac{20}{1} \\ \\ :\implies \sf 20 \: cm$

Therefore, 20 cm is the breadth of the given rectangular sheet.