Question

the perimeter of rectangle is60cm. if the length of the rectangle is4 times the breadth of the rectangle find the area of the rectangle​

Answer 1

Answer:

$\large\underline{\underline{ \sf \maltese{\:Question:-}}}$

the perimeter of rectangle is60cm. if the length of the rectangle is4 times the breadth of the rectangle find the area of the rectangle.?

__________________________________________

$\large\underline{\underline{ \sf \maltese{\:Given:-}}}$

⟹ the perimeter of rectangle is60cm

⟹ length of the rectangle is 4 times the breadth

__________________________________________

$\large\underline{\underline{ \sf \maltese{\:To\: Find:-}}}$

⟹ length of the rectangle

⟹ bradth of the rectangle

⟹ area of the rectangle

__________________________________________

$\large\underline{\underline{ \sf \maltese{\:Solution:-}}}$

let the bradth be x

and let the length be 4x

let's begin.!

⟹ perimeter = 2(length +breath)

⟹ 60cm=2(4x+x)

⟹ 60cm=8x+2x

⟹ 60cm=10x

$\mathbb{\boxed{\orange{⟹x=6cm }}}$

so,length = 4x=4(6)=24cm

breath = 1(6)=6cm

__________________________________________

⟹ area of the rectangle =length ×breath

area=24×6

$\mathbb{\boxed{\purple{⟹ area=144cm²}}}$

__________________________________________

hope this helps.!!

Answer 2

Answer:

Let the breadth be ='x'

Length be = '4x'

Perimeter = 60 cm

‎ ‎

‎ ‎

$\color{black}\boxed{\colorbox{saffron}{Perimeter-2(length+breadth) }}$

60= 2(4x+x)

= 60= 10x

= x= 60÷10

=x= 6

‎ ‎

‎ ‎

Required Answer-

$\rightarrow$$\bold{breadth=x=6cm}$

$\rightarrow$$\bold{length=4x=24cm}$