Question

tthe length of a rectangle is 1cm greater than breadth if breadth is taken as x find length if the perimeter is 50 cm find length and breadth​

Answer 1

Answer:

length: 13 & breadth: 12. hope this is helpful

Answer 2

Given :-

Length of rectangle = 1 cm + breadth

Breadth = x

Perimeter of the rectangle = 50 cm

To Find :-

Length of the rectangle.

Breadth of the rectangle.

Solution :-

We know that,

• l = Length
• b = Breadth
• h = Height

Let the breadth be x,

Also by given,

Length = 1  + breadth

Length = 1 + x

The perimeter of a rectangle is given by the formula,

$\underline{\boxed{\sf Perimeter \ of \ a \ rectangle = 2( Length +breadth) }}$

Where l is the length and b is the breadth of the rectangle,

Substituting their values, we get

$\sf 50 = 2 (1 +x +x)$

$\sf \dfrac{5}{2} = 2x + 1$

$\sf 2x + 1 = 25$

$\sf 2x = 24$

$\sf x=\dfrac{24}{2}$

$\sf x = 12$

Hence, breadth of the rectangle is 12 cm

Length of the rectangle = $\sf 1 +x = 1 + 12 = 13 \ cm$

Therefore, the length and breath of the rectangle is 13 cm and 12 cm respectively