Why is area important

You simply multiply two sides to find the area, since all sides of a square are equal. A triangle is a three-sided closed figure. The perpendicular distance from the base to the opposite highest point is called the height H.

So the formula would be:. The area of a circle is the total area that is bounded by the circumference or the distance around the circle. Think of the area of the circle as if you drew the circumference and filled in the area within the circle with paint or crayons. The formula for the area of a circle is:. There are many authentic and real-life reasons where you would need to calculate the area of various shapes.

For instance, suppose you are looking to sod your lawn; you would need to know the area of your lawn in order to purchase enough sod. Or, you may wish to lay carpet in your living room, halls, and bedrooms. Again, you need to calculate the area to determine how much carpeting to purchase for the various sizes of your rooms. Knowing the formulas to calculate areas will help you determine the areas of the rooms. For example, if your living room is 14 feet by 18 feet, and you want to find the area so that you can buy the correct amount of carpet, you would use the formula for finding the area of a rectangle, as follows:.

So you would need square feet of carpet. If, by contrast, you wanted to lay tiles for your bathroom floor, which is circular, you would measure the distance from one side of the circle to the other—the diameter—and divide by two.

Then you would apply the formula for finding the area of the circle as follows:. If the diameter of your circular floor is 4 feet, you would have:. You would then round that figure off to So you would need 13 square feet of tile to complete your bathroom floor.

If you have a really original-looking room in the shape of a triangle, and you want to lay carpet in that room, you would use the formula for finding the area of a triangle. You'd first need to measure the base of the triangle.

Suppose you find that the base is 10 feet. You'd measure the height of the triangle from the base to the top of the triangle's point. The area of irregular shapes can be found by dividing the shape into unit squares. When the shape does not occupy the complete unit square, we can approximate and find its value. The total length of the boundary of a closed shape is called its perimeter.

In other words, the perimeter is the sum of the sides of a 2-dimensional shape. The perimeter of the triangle is the sum of three sides of the triangle whereas the area of the triangle is. The formulas for the area and perimeter of a square and a rectangle are as follows. The area of a shape is the number of unit squares required to completely cover it. Therefore, it is measured and expressed in square units.

Learn Practice Download. Area Area is the amount of space occupied by a two-dimensional figure. What Is the Meaning of Area? How to Calculate Area? Area of Geometric Shapes - Formula 4. Examples on Area Example 1: Find the area of a square with a side of 7 cm. Example 2: The dimensions of a rectangle are 15 cm and 8 cm. Find its area. Example 3: Can you find the area of a circle with a radius of 14 cm? Example 4: Calculate the area of the given shape by counting the squares.

Solution: Let's calculate the full squares and the half squares. How can your child master math concepts? Practice Questions on Area. Explore math program. They will often be given rectangles not drawn to scale, so will need to remember this formula. They also need to estimate the area of irregular shapes. In Year 6 , children will need to work out how to find the area of an irregular shape , such as the following. Often, not all the measurements of each side will be given to make this harder.

A good way of finding the area of a shape like this is to split the shape up into smaller shapes and then work out the area of each of these. The areas of the smaller shapes can then be added up to find the answer.

Children will sometimes be asked to solve worded puzzles or investigations about area, where no pictorial representation is given, for example: A rectangle has a perimeter of 36cm. What could the area of this shape be? There is more than one possible answer to this question.