Verified answer

Answer:

The length of the rectangle is 24 cm.

Step-by-step-explanation:

We have given that,

The breadth of the rectangle is 8 cm.

The perimeter of the rectangle is 64 cm.

We know that,

Perimeter of rectangle = 2 ( length + breadth )

→ 64 = 2 ( length + 8 )

→ 64 ÷ 2 = length + 8

→ 32 = length + 8

→ length = 32 - 8

→ length = 24 cm.

∴ The length of the rectangle is 24 cm.

Additional Information:

1. Rectangle:

A quadrilateral having all angles as right angles is called as rectangle.

2. Perimeter of rectangle:

The sum of all sides of rectangle is known as its perimeter.

3. Formula for Perimeter of rectangle:

P = 2 ( length + breadth )

4. Properties of rectangle:

1. Opposite sides are equal.

2. Opposite angles are congruent.

3. Diagonals bisect each other.

5. Area of rectangle:

The product of the dimensions of rectangle is called its area.

6. Formula for Area of rectangle:

A = length × breadth

Given :

• Breadth of rectangle 8 cm.
• Perimeter of rectangle 64 cm.

To find :

• Length of rectangle.

Formula used :

• Perimeter of rectangle =2 (length + breadth)

According to the question,

➨ Perimeter of rectangle =2 (length + breadth)

➨ 64 cm = 2 × ( L + 8 cm )

➨ 64 cm = 2 L + 16 cm

➨ 64 cm - 16 cm = 2 L

➨ 48 cm = 2 L

➨ L = 48 cm ÷ 2 cm

.°. L = 24 cm.

_______________....

Verification :

• Length = 24 cm.
• Breadth = 8 cm.
• Perimeter = ?

Perimeter of rectangle = 2 × ( length + breadth )

= 2 × ( 24 cm + 8 cm )

= 2 × 32 cm

= 64 cm.

.°. The perimeter is 64 cm.

Hence,verified...