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

Answer:

Length and breadth of the rectangle are 13cm and 7cm respectively.

Explanation:

Perimeter of the rectangle = 40 cm

Let breath of the rectangle = b

According to the Question:

Length of the rectangle

= 2 × breath - 1cm

= 2b - 1cm

Perimeter of a rectangle: = 2( length + breath )

⟹ 40cm = 2 ( 2b - 1cm + b )

⟹ 40cm = 2 ( 3b - 1cm )

⟹ 40cm = 6b - 2cm

⟹ 40cm + 2cm = 6b

⟹ 42cm = 6b

⟹ 42cm/6 = b

⟹ 7cm = b

Length of the rectangle

⟹ 2b - 1cm

⟹ 2 ( 7cm ) - 1cm

⟹ 14cm - 1cm

⟹ 13cm

Breath of the rectangle = b = 7cm