The lengths of sides of a rectangle are 6 cm and 4∙ 5 cm. Find the ratio of its perimeter to area.
Answers
Answer:
P=21
A=27
P:A=21:27=7:9
Answer: 7:9
Appropriate Question :
›»› The lengths of sides of a rectangle are 6 cm and 4.5 cm. Find the ratio of its perimeter to area.
Answer :
›»› The required ratio of its perimeter of rectangle to area of rectangle is 7 : 9.
Step-by-step explanation :
Given :
- Length of a rectangle = 6 cm.
- Breadth of a rectangle = 4.5 cm.
To Find :
- Ratio of its perimeter to area = ?
Formula required :
Formula to calculate the perimeter o rectangle is given by,
→ Perimeter the rectangle = 2(l + b).
Here,
- l is the Length of rectangle.
- b is the Breadth of rectangle.
Units,
- The unit of length is centimetre (cm).
- The unit of breadth is centimetre (cm).
Formula to calculate the area of rectangle is given by,
→ Area of rectangle = l * b.
Here,
- l is the Length of rectangle.
- b is the Breadth of rectangle.
Units,
- The unit of length is centimetre (cm).
- The unit of breadth is centimetre (cm).
Solution :
We know that, if we are given with the length of rectangle and breadth of rectangle then we have the required formula, that is,
→ Perimeter of rectangle = 2(l + b).
By using the formula to calculate the perimeter of rectangle and substituting all the given values in the formula, we get :
→ Perimeter of rectangle = 2(6 + 4.5)
→ Perimeter of rectangle = 2 * 10.5
→ Perimeter of rectangle = 21.
∴ The perimeter of a rectangle is 21 cm.
We know that, if we are given with length of rectangle and breadth of rectangle then we have the required formula, that is,
→ Area of rectangle = l * b.
By using the formula to calculate the area of rectangle and substituting all the given values in the formula, we get :
→ Area of rectangle = 6 * 4.5
→ Area of rectangle = 27.
∴ The area of rectangle is 27 cm².
Now,
Ratio of perimeter of rectangle to area of rectangle = Perimeter of rectangle : Area of rectangle.
→ Ratio = 21 : 27
→ Ratio = 7 : 9.