Question

the side of a square is 84 CM a rectangle of the same area as that of the square has its breadth equal to 63cm.what is the length of the rectangle?​

Answer 1

$\huge\mathbb{SOLUTION}$

• Given the area of rectangle=Area of square

First find the area if square

$\boxed{\sf{Area\:of\: Square=side{}^{2}}}$

Area =84×84

Area =7056sq.cm

$\boxed{\sf{Area\:of\: square=7056cm{}^{2}}}$

$\sf{\red{Area\:of\: square=Area\:of\: rectangle}}$

• Now the length of rectangle

• Let the length be x

• breadth=63cm

• area =7056sq.cm

$\sf L\times b=Area\\ \\ \sf\implies 63\times x= 7056\\ \\ \sf\implies x=\cancel{\dfrac{7056}{63}}\\ \\ \sf\implies x=112$

$\boxed{\sf{Length\:of\: rectangle=112cm}}$

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Side of Square = 84 cm
• Breadth Of Rectangle (B) = 63cm

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

$\large \star {\boxed{\sf{Area \: of \: Square \: = \: (Side)^2}}} \\ \\ \implies {\sf{Area \: = \: (84)^2}} \\ \\ \implies {\sf{Area \: = \: 7056}} \\ \\ \implies {\boxed{\sf{Area \: = \: 7056 \: cm^2}}} \\ \\ \small{\sf{\pink{A.T.Q, \: Area \: of \: Square \: = \: Area \: of \: Rectangle}}} \\ \\ \large \star {\boxed{\sf{Area \: = \: Length \: \times \: Breadth}}} \\ \\ \implies {\sf{7056 \: = \: 63 \: \times \: Length}} \\ \\ \implies {\sf{Length \: = \: \dfrac{\cancel{7056}}{\cancel{63}}}} \\ \\ \implies {\sf{Length \: = \: 112}} \\ \\ \implies {\boxed{\sf{Length \: = \: 112 \: cm}}}$