Question

The perimeter of a rectangle is24unit if the length is twice the breadth find the breadth of rectangle

Answer 1

$\bf{\huge{\underline{\boxed{\tt{\red{Answer:}}}}}}$

Given :-

• Perimeter of the rectangle = 24 units
• Length of the rectangle is twice the breadth

To find :-

• Breadth of the rectangle

Solution :-

Let the breadth of the rectangle be x units.

As per the question,

• length is twice the breadth

•°•Length of the rectangle = 2x units

We know that the perimeter of the rectangle is calculated using the formula,

$\bf{\large{\underline{\boxed{\tt{\blue{Perimeter\:of\:the\:rectangle \:=\:2\:(\:l\:+\:b}}}}}}$

Plug in the values in the formula,

24 = 2 ( l + b)

24 = 2 ( 2x + x)

24 = 2 × 2x + 2 × x

24 = 4x + 2x

24 = 6x

$\large\frac{24}{6}$ = x

x = 4

•°•Breadth of the rectangle = x = 4 units.

$\bf{\huge{\underline{\boxed{\tt{\red{Verification:}}}}}}$

To verify whether our answer is right or wrong, we will have to even find the length of the rectangle.

Let's move on!

Lengh = 2x

Breadth = x = 4 units

Substutite value of x in length,

Length = 2x = 2 × 4 = 8 units.

Plug the values in the formula of perimeter of rectangle,

24 = 2 ( l + b)

24 = 2 ( 8 + 4)

24 = 2 ( 12)

24 = 24

LHS = RHS.

Hence verified.