Art, asked by sharmahitagmailcom, 1 year ago

9. A rectangle has an area equal to that of a square
of side 40 cm. If the breadth of the rectangle is 20
cm, find its length. Are the perimeters of the
rectangle and the square equal?​

Answers

Answered by arunvignesh0706
0

HOPE HELP U

PLZ MARK AS BRAINLIEST

AND FOLLOW ME

Attachments:
Answered by Anonymous
3

\large{\underline{\underline{\mathfrak{\red{AnSwEr :}}}}}

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

  • Area of Square = Area of Rectangle

  • Side of Square = 40 cm

  • Breadth of Rectangle (B) = 20cm

\rule{200}{1}

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

 \star {\boxed{\sf{Area \: of \: Square  \: = \: Side^2}}}

And

{\bold{\star}} {\boxed{\sf{Area \: of \: Rectangle  \: = \: Length \: \times \: breadth}}}

A.T.Q,

\implies {\sf{Side^2 \: = \: Length \: \times \: Breadth}}

\implies {\sf{(40)^2 \: = \: 20 \: \times \: Length}}

\implies {\sf{1600 \: = \: 20 \: \times \: Length}}

\implies {\sf{Length \: = \: \dfrac{\cancel{1600}}{\cancel{20}}}}

\implies {\sf{Length \: = \: 80 \: cm}}

Length is of 80 cm

\rule{200}{1}

Now,

\star {\boxed{\sf{Perimeter \: of \: Square  \: = \: 4 \: \times \: Side}}}

\implies {\sf{Perimeter \: = \: 4(40)}}

\implies {\sf{Perimeter \: = \: 160 \: cm}}

Perimeter of Square is 160 cm

\rule{200}{1}

 \star {\boxed{\sf{Perimeter \: of \: Rectangle \: = \: 2(Length \: + \: Breadth)}}}

\implies {\sf{Perimeter \: = \: 2(80 \: + \: 20)}}

\implies {\sf{Perimeter \: = \: 2(100)}}

\implies {\sf{Perimeter \: = \: 200 \: cm}}

Perimeter of Rectangle is 200 cm

So,

Perimeter Of Square ≠ Perimeter of Rectangle

Similar questions