Question

The perimeter of a rectangle is 26cm and its width is 2 3/4cm. Find its length.​

Answer 1

Answer :

• Length of rectangle = 41/4 cm

Given :

• The perimeter of a rectangle is 26cm
• Widhth is 2 3/4cm

To find :

• Length of rectangle

Solution :

To find the length of rectangle we have to use the formula of perimeter of rectangle

• Let the length of rectangle be l
• Breadth of rectangle = 2 3/4cm
• Perimeter of rectangle = 26cm

➞ Breadth of rectangle = 2 3/4

➞ Breadth of rectangle = 11/4 cm

We know that

• Perimeter of rectangle = 2(l + b)

Where ,

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

Given perimeter is 26cm

Finding the length of rectangle :

➞ perimeter of rectangle = 2(l + b)

➞ 26 = 2(l + 11/4)

➞ 26 = 2l + 2(11/4)

➞ 26 = 2l + 11/2

➞ 2l = 26 - 11/2

➞ 2l =52 - 11 / 2

➞ l = 41/4 cm

Hence , Length of rectangle = 41/4 cm

Verification :

• Length of rectangle = 41/4cm
• Breadth of rectangle = 11/4cm
• Perimeter of rectangle = 26cm

➞ Perimeter of rectangle = 2(l + b)

➞ 26 = 2(41/4 + 11/4)

➞ 26 = 2(41 + 11 / 4)

➞ 26 = 2(52/4)

➞ 26 = 2(13)

➞ 26 = 26

Hence verified