Question

the area of a rectangular tennis court is 475 cm².if the length is 25 cm,what it's width?​

Answer 1

Given :

• Area of Rectangle = 475 cm²
• Length of Rectangle = 25 cm

$\\ \rule{200pt}{3pt}$

To Find :

• Width of Rectangle = ?

$\\ \rule{200pt}{3pt}$

Solution :

${\darr \; {\underline{\pmb{\frak{ Formula \; Used \; :- }}}}}$

• ${\underline{\boxed{\orange{\sf{ Area = Length \times Breadth }}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\darr \; {\underline{\pmb{\frak{ Calculating \; the \; Width \; :- }}}}}$

${\implies{\qquad{\sf{ Area = Length \times Breadth }}}} \\ \\ \\ \ {\implies{\qquad{\sf{ 475 = 25 \times Breadth }}}} \\ \\ \\ \ {\implies{\qquad{\sf{ \dfrac{475}{25} = Breadth }}}} \\ \\ \\ \ {\implies{\qquad{\sf{ \cancel\dfrac{475}{25} = Breadth }}}} \\ \\ \\ \ {\qquad \; \; {\therefore \; {\underline{\boxed{\pmb{\green{\pmb{\frak{ Breadth = 19 \; cm }}}}}}}}}$

$\\ \qquad{\rule{150pt}{1pt}}$

${\darr \; {\underline{\pmb{\frak{ Therefore \; :- }}}}}$

❛❛ Width of the given Rectangle is 19 cm . ❜❜

$\\ {\underline{\rule{300pt}{9pt}}}$

Answer 2

✦ Given :-

The area of a rectangular tennis court is 475 cm².

And the length is 25 cm.

$\:$

✦ To Find :-

Width(Breadth) of the rectangle

$\:$

✦ Used Formula :-

$\purple \star \: \red{\boxed { \bf Area _{(Rectangle)} = Length × Breadth}}$

$\:$

✦ Solution :-

Let,

• Length = 25cm
• Breadth = x
• Area = 475cm²

$\red ⟼ \: \bf Area _{(Rectangle)} = Length × Breadth$

$\red ⟶ \: \bf 475 = 25 × x$

$\displaystyle\red ⟶ \: \bf \cancel\frac{475}{25} = x$

$\bf ⟶ \: \red{\underline{ { \boxed{ \bf \: x = 19}}}}$

∴ Width of the rectangle is 19cm

$\:$

✦ Verification :-

$⟶ \: \bf \red{475 = 25 × 19}$

$⟶ \: \bf \red{475 = 475}$

∵ Hence, proved