Question

the perimeter of a rectangle is 76cm if it's sides are in the ratio 11:8 then the sides of rectangle are

Answer 1

Answer :

• 22cm and 16cm are the sides of rectangle

Given that :

• The perimeter of a rectangle is 76cm
• If its sides are in the ratio 11 : 8

To find :

• Sides of rectangle

Solution :

To find the sides of rectangle, we must use the formula of perimeter of rectangle

Given, Sides are in the ratio 11 : 8 so,

• Let the length of rectangle be 11x
• Let the breadth of rectangle be 8x

We know that

• Perimeter or rectangle = 2(l + b)

Where ,

• l is length of rectangle
• b is breadth of rectangle

Given, perimeter is 76cm

➞ Perimeter of rectangle = 2(l + b)

➞ 76 = 2(11x + 8x)

➞ 76 = 2(19x)

➞ 76 = 38x

➞ 38x = 76

➞ x = 76/38

➞ x = 2

Finding the sides of rectangle :

• Length = 11x

➞ Length = 11x

➞ Length = 11(2)

➞ Length = 22cm

• Breadth = 8x

➞ Breadth = 8x

➞ Breadth = 8(2)

➞ Breadth = 16cm

Hence, 22cm and 16cm are the sides of rectangle

Answer 2

Answer:

The length of the rectangle is 22 cm and Breadth of the rectangle is 16 cm

Solution:-

Given:-

Perimeter of the rectangle is 76 cm

It's side are in ratio 11:8

To find:-

The sides of rectangle

so,

Let the sides be x

∴ Ratio will be; 11x and 8x

as we know that the perimeter of the rectangle formula is 2(l×b)

⇒Perimeter = 2(l+b)

⇒76 = 2(11x+8x)

⇒76 = 2(19x)

⇒76 = 38x

⇒38x = 76

⇒x = 76/38

⇒x = 2

We got the value of x as 2

∴ Sides will be;

⇒ 11x = 11×2 = 22 cm

⇒ 8x = 8×2 = 16 cm

Hence, the Length= 22 cm and Breadth= 16 cm.

More Information to know:-

Perimeter of the Triangle = sum of all the sides

Perimeter of square = 4(side)

Perimeter of rectangle = 2(l+b)

circumference of the Circle = 2 π r