Question

The perimeter of a square is double that of a
rectangle. If perimeter of the square is 120 m and
length and breadth of the rectangle are in the ratio 3 :
2, find the length and breadth of the rectangle.​

Answer 1

Answer:

l=18cm b=12cm

Step-by-step explanation:

let the length be 3x

and the breadth be 2x

perimeter of square = 2perimeter of rectangle

120=2[2(l+b)]

60=2(3x+2x)

30=5x

6=x

breadth=2x

2.6=12cm

length=3x

3.6=18cm

Answer 2

$\huge\underline\text{✩Required\: Answer✩}$

${\underline{\underline{\bf{\green{✩Given}}}}}$

◑ Perimeter of square is double that of a rectangle

◑ Perimeter of square is 120m

◑ Ratio of length and breadth of rectangle is 3:2

${\underline{\underline{\bf{\green{✩To\:Find}}}}}$

◑ Length and breadth of rectangle

${\underline{\underline{\bf{\green{✩Explanations}}}}}$

[According to the given question, perimeter of rectangle is 1/2 of that Perimeter of square.]

so,

Perimeter of rectangle = 1/2×120m

=> 60m is the perimeter of rectangle.

${\underline{\sf{\pink{Finding\: length\: and\: breadth\:of\: rectangle}}}}$

Let the length of rectangle = 3x and breadth = 2x

${\underline{\underline{\bf{\red{[Formula\: used➝\:Perimeter \: of \: rectangle = 2(l + b)]}}}}}$

Substitute the value in the given formula -

Perimeter of rectangle = 2(l+b)

60m = 2(3x+2x)

60m = 6x+4x

60m = 10x

x = 60/10

x = 6m

Hence,

◑ Length of rectangle is 3x = 3×6 = 18m

◑ Breadth of rectangle is 2x = 2×6 = 12m