Question

21) The length of a rectangle is 2 cm more than the breadth. If the perimeter is 84 cm, find the lengths of the sides of the rectangle. ​

Answer 1

Answer:

breadth=x=20cm. length=2+x= 22cm

Step-by-step explanation:

• let breadth be x and length be 2+x
• let breadth be x and length be 2+x2(l+b)= perimeter
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm4x= 84cm-4
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm4x= 84cm-44x= 80cm
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm4x= 84cm-44x= 80cmx = 80/4
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm4x= 84cm-44x= 80cmx = 80/4x= 20cm
• let breadth be x and length be 2+x2(l+b)= perimeter2(x+2+x)= 84cm2(2x+2)= 84cm4x+4= 84cm4x= 84cm-44x= 80cmx = 80/4x= 20cm2+x= 2+20= 22cm

Answer 2

Answer:

LENGTH =22 cm

BREADTH =20 cm

Step-by-step explanation:

Let the breadth be : x

therefore.. The length = x +2

Perimeter of rectangle = 2* (l + b)

84 = 2 ( x +2 + x)

84/2 = 2x +2

42 = 2x +2

42-2 =2x

40 = 2x

40/2 = x

20 = x

therefore... x = 20

NOW, putting the values

x = 20

x+2 = 20+2 =22

therefore... LENGTH = 22 cm

BREADTH =20 cm

HOPE YOU FIND IT HELPFUL