Question

the perimeter of a rectangle is 40cm the length of the rectangle is less than double its breadth by 1cm find the length and breadth​

Answer 1

Answer:-

Let the breadth of the rectangle be x cm.

Given:

Length is 1 cm less than twice the breadth.

So, Length = (2x - 1) cm.

And,

Perimeter of the rectangle = 40 cm.

We know that,

Perimeter of a rectangle = 2(length + breadth)

So,

⟹ 40 = 2(2x - 1 + x)

⟹ 40 = 2(3x - 1)

⟹ 40 = 6x - 2

⟹ 40 + 2 = 6x

⟹ 42/6 = x

⟹ 7 cm = x

∴

Length of the rectangle = 2x - 1 = 2(7) - 1 = 14 - 1 = 13 cm.

Breadth of the rectangle = x = 7 cm

Answer 2

perimeter of a rectangle is 40cm

perimeter of a rectangle = 2(l + b)

length of the rectangle is 1 cm less than double its breadth

Length = 2xBreadth - 1 cm

perimeter of a rectangle = 2(l + b)

40 = 2(2b - 1 + b)

40 = 6b - 2

6b = 42

b = 7

BREADTH = 7 cm

LENGTH = 13 cm