Question

11. Length of a rectangle is 16 cm less than twice its breadth. If the perime of rectangle is 100 cm, find its length and breadth.​

Answer 1

Given :

Length of a rectangle is 16 cm less than twice its breadth.

If the perimeter of rectangle is 100 cm.

To Find:

Length and breadth

Solution:

Let,

Breadth of Rectangle = x cm

Length of Rectangle = (2x - 16) cm

Perimeter of Rectangle = 2 (L + B)

➠ 100 = 2 (x + 2x - 16)

➠ 100 = 2 (3x - 16)

➠ 100 = 6x - 32

➠ 6x = 132

➠ x = 132/6

➠ x = 22cm

Now,Finding Length and breadth

Length of Rectangle = 2x - 16

Length of Rectangle = 2 × 22 - 16

Length of Rectangle = 28cm

Breadth of Rectangle = x cm

Breadth of Rectangle = 22cm

Answer 2

Answer:

Let breadth of the rectangle is x . Then its length will be 2x−16 2 x − 16 . or, x=22 . Then length is 44−16=28 44 − 16 = 28 cm.