Answered

c) The length of a rectangle is 9 cm and its perimeter is 30 cm.

(i) Write the formula to find the perimeter of a rectangle.

(ii) Find its breadth.

(iii) Find its area.



Answer :

GinnyAnswer
Certainly! Let's go through the problem step-by-step.

### (i) Write the formula to find the perimeter of a rectangle.

The formula to find the perimeter [tex]\( P \)[/tex] of a rectangle is:
[tex]\[ P = 2 \times (\text{length} + \text{breadth}) \][/tex]

### (ii) Find its breadth.

We are given:
- The length of the rectangle is 9 cm.
- The perimeter of the rectangle is 30 cm.

Using the perimeter formula:
[tex]\[ P = 2 \times (\text{length} + \text{breadth}) \][/tex]

Plugging in the given values:
[tex]\[ 30 = 2 \times (9 + \text{breadth}) \][/tex]

To find the breadth, we solve for the breadth step-by-step:

1. Divide both sides of the equation by 2:
[tex]\[ 15 = 9 + \text{breadth} \][/tex]

2. Subtract 9 from both sides:
[tex]\[ 15 - 9 = \text{breadth} \][/tex]

3. This gives us:
[tex]\[ \text{breadth} = 6 \text{ cm} \][/tex]

So, the breadth of the rectangle is 6 cm.

### (iii) Find its area.

The formula to find the area [tex]\( A \)[/tex] of a rectangle is:
[tex]\[ A = \text{length} \times \text{breadth} \][/tex]

Using the values we have:
- Length = 9 cm
- Breadth = 6 cm

Plugging these values into the area formula:
[tex]\[ A = 9 \times 6 = 54 \text{ cm}^2 \][/tex]

So, the area of the rectangle is 54 square centimeters.

Other Questions