What is the Area of this Figure? Enter Your Answer in the Box. M²

What is the Area of this Figure? Enter Your Answer in the Box M²

You may often find the question about calculating area on Brainly. The complete question like this; What is the area of this figure? Enter your answer in the box m² A parallelogram with a right triangle made inside it with a short leg length of 5 m and a long leg length of 9 m. Two triangles attached to the top of the parallelogram are touching and share a long leg length of 8 m. Calculating Area

In this paragraph, we are going to talk about calculating the area. For your information, area is a measure of how much space inside a shape. Calculating the area of shape or surface is able to be useful in everyday life. For instance, you may need to know how much paint to purchase for covering a wall, or how much grass seed you require to sow a lawn. In addition, you can also learn how to calculate the areas of common shapes including squares, rectangles, triangles and circles.

Calculating Area Using the Grid Method

When a shape is drawn on a scaled grid, you are able to find the area by counting the number of grid squares inside the shape. For example: There are 10 grid squares inside the rectangle. To find an area value by using the grid method, you need to know the size that grid square represents. This example needs to use centimetres, but the same method applies for any unit of length or distance. You could be using inches, miles, metres, feet etc.

In this example, each grid square has a width of 1cm and a height of 1cm. In other words, each grid square is one square centimetre. Please count the grid squares inside the large square to discover its area.

There are 15 little squares, so the area of the square is 15 square centimetres. In mathematics, we are able to abbreviate square centimetres to cm2.  For note: 2 means squared.  Each grid square is 1cm2. The area of the large square is 15cm2. However, this method becomes challenging when shapes do not suit the grid, or when you require to count fractions of the grid squares. In this example, the square does not suit exactly onto the grid.

You are still able to calculate the area by counting grid squares.

• There are 25 full grid squares.
• 10 half grid squares – 10 half squares is the same as 5 full squares.
• Also, there is 1 quarter square – (¼ or 0.25 of a whole square).
• Now, you are able to add the entire squares and fractions: 25 + 5 + 0.25 = 30.25.

The area of this square is 30.25cm2. Also, you are able to write this as 30¼cm2.

Although using a grid and count the squares within a shape is an easy way to learn the area concepts, but it is less useful to find the exact areas with more complex shapes, when there can be many fractions of the grid squares to add. Area is able to be calculated by using simple formulae, depending on the kind of shape you are learning. The remainder of this paragraph will explain and give the examples of how to calculate the area of a shape without using the grid system.