Perimeter and Area Class 7 Formulas
The concept of perimeter and area of shapes has a widespread usage in our everyday lives. Students usually face problems in differentiating between the two if the underlying logic and concept of measurement is not clear to them. Hence, this article has been curated to help students understand the perimeter and area class 7 formulas along with some practical tips to remember them.
List of Perimeter and Area Class 7 Formulas
Here is a list of some concepts and formulas related to perimeter and area.
- The perimeter of a closed figure is the total length of its boundary, whereas, the area is the space occupied by it.
- Perimeter of a square = 4 × Side
- Perimeter of a rectangle = 2 × (Length + Breadth)
- Area of a square = Side × Side
- Area of a rectangle = Length × Breadth
- Area of a parallelogram = Base × Height
- Area of a triangle = 1 /2 × Base × Height
- The distance around a circular region is known as its circumference.
- Circumference of a circle = πd, d is the diameter and π = 22/ 7 or 3.14
- Area of a circle = πr2 , where ‘r’ is the radius of the circle.
Applications of Perimeter and Area Class 7 Formulas
The area and perimeter of shapes is widely used in our everyday life. A few examples are given below.
- To put tiles on the floor, one needs to calculate the area of the floor and divide it by the area of a single tile to know how many tiles would be required to cover the complete floor. Usually the tiles and the room floor are square or rectangular in shape and hence the formulas for the area of a square and rectangle are very handy.
- To put a fence around a field, we need to calculate the perimeter of the field. Depending on whether the field is square, rectangular or circular in shape we can make use of the formulas to know the length of the perimeter and then calculate the amount of fencing required.
Tips to Memorize Perimeter and Area Class 7 Formulas
Perimeter and area class 7 formulas are the basic introductory formulas that are used to understand the concepts related to mensuration. The following tips can make the students learn these formulas easily:
- One of the best ways to remember anything is to write it down, as the brain processes it quickly. The students are advised to write down the concepts and logic completely along with the formula so that it makes sense to them. They must inculcate this habit everyday so as to understand the formulas thoroughly.
- Once done with the writing part, the students must go through all the solved examples in their textbook and then try to solve them. This will expose them to a variety of use cases of the formulas. After the solved examples they should practice as many exercise questions as possible. This will help them get enough practice on using as well as writing the formulas thus helping in remembering them well.
- The students can also set the formula images as wallpaper on their laptops and mobile. This will ensure a quick revision throughout the day.
Perimeter and Area Class 7 Formulas Examples
Example 1: Lara wants to fence her garden on three sides with lengths 15 m, 10 m and 11 m. Find the cost of fencing the garden on three sides if the rate of fencing is Rs 120 per metre.
Solution : Total cost of fencing = Rate of fencing × total length of fencing required
Total length of fencing required = Perimeter of the garden
Perimeter of garden = sum of three sides
= 15 + 10 +11
= 36 m
Total cost of fencing = 120 × 36
= Rs 4320
Example 2 : A door with the dimensions 4 m × 2 m is fixed on the wall with dimensions given as 11 m × 11 m. What will the total labour charges for painting of the wall if the charges for painting 1 m2 of the wall is Rs. 2.50.
Solution : Total labour charges = Rate of painting × Area of the wall to be painted
Area of the wall to be painted = Area of wall - Area of door
Area of the wall = 11 × 11 = 121 square meters
Area of door = 4 × 2 = 8 square meters
Area to be painted = 121 - 8 = 113 square meters
Total cost of painting the wall = 2.5 × 113
= Rs. 282.5
Students can download the printable Maths Formulas Class 7 sheet from below:
FAQs on Perimeter and Area Class 7 Formulas
What are the Important Perimeter and Area Class 7 Formulas?
The important Perimeter and Area formulas are given below:
- The perimeter of a closed figure is the total length of its boundary, whereas the area is the space occupied by it.
- Perimeter of a square = 4 × side
- Perimeter of a rectangle = 2 × (length + breadth)
- Area of a square = side × side
- Area of a rectangle = length × breadth
- Area of a parallelogram = base × height
- Area of a triangle = 1 /2 × base × height
- The distance around a circular region is known as its circumference.
- Circumference of a circle = πd, d is the diameter and π = 22/ 7 or 3.14
What are the Basic Perimeter and Area Class 7 Formulas?
The basic perimeter and area class 7 formulas help in calculating the area and perimeter of squares, rectangles, circle, triangle, parallelogram. These are summarized in this article along with some practical tips to remember them.
How Many Formulas are there in Perimeter and Area Class 7 Formulas?
This article summarizes ten formulas related to perimeter and area that help in solving the basic mensuration questions. The knowledge of these formulas is essential as the concept of measurement is encountered in everyday life.
How can I Memorize Perimeter and Area Class 7 Formulas?
Students can memorize the perimeter and area class 7 formulas easily with the help of the following points:
- Since our brain processes hand-written information easily hence writing down the formulas is one of the best methods to remember them.
- Once the students are clear with the logic behind the formulas, they must go over all of the solved examples in their textbook and attempt to solve them on their own. This will expose them to a wide range of formula applications. After this they should practice the exercise problems to get enough practice on problem-solving.
- The students can download formula images and set them as wallpaper on their laptops and mobile. This will give them a quick revision whenever they use their device.