When do you square in area

What we need to do, is to find the area of the park then multiply the area by the cost per m 2. Substitute values and simplify. Example 5: A square lawn is surrounded by a path 2 m wide around it. If the area of the path is sq m, find the area of the lawn.

Solution : Given: A square lawn is surrounded by 2 m wide path; area of path is sq m. To find: Area of lawn. Hint: Lawn is surrounded by the path i. Online Area Calculator. Sign up Login. Recently Added Math Formulas. Additional Formulas. Area of a Square. Area can be calculated using simple formulae, depending on the type of shape you are working with. The remainder of this page explains and gives examples of how to calculate the area of a shape without using the grid system.

The simplest and most commonly used area calculations are for squares and rectangles. For a square you only need to find the length of one of the sides as each side is the same length and then multiply this by itself to find the area. This is the same as saying length 2 or length squared. It is good practice to check that a shape is actually a square by measuring two sides. For example, the wall of a room may look like a square but when you measure it you find it is actually a rectangle.

Often, in real life, shapes can be more complex. For example, imagine you want to find the area of a floor, so that you can order the right amount of carpet. In this example, and other examples like it, the trick is to split the shape into several rectangles or squares. Solution 1 and 2 require that you make two shapes and add their areas together to find the total area. For solution 3 you make a larger shape A and subtract the smaller shape B from it to find the area.

Another common problem is to the find the area of a border — a shape within another shape. You could view the path as four separate rectangles, calculate their dimensions and then their area and finally add the areas together to give a total. A faster way would be to work out the area of the whole shape and the area of the internal rectangle.

Subtract the internal rectangle area from the whole leaving the area of the path. A parallelogram is a four-sided shape with two pairs of sides with equal length — by definition a rectangle is a type of parallelogram. However, most people tend to think of parallelograms as four-sided shapes with angled lines, as illustrated here. From the diagram you can see that the height is the distance between the top and bottom sides of the shape - not the length of the side.

Think of an imaginary line, at right angles, between the top and bottom sides. This is the height. Assuming you know or can measure the dimensions of a triangle then you can quickly work out its area by using this formula:.

In other words you can work out the area of a triangle in the same way as the area for a square or parallelogram, then just divide your answer by 2. In real-life situations you may be faced with a problem that requires you to find the area of a triangle, such as:. You want to paint the gable end of a barn. You only want to visit the decorating store once to get the right amount of paint. You know that a litre of paint will cover 10m 2 of wall. How much paint do you need to cover the gable end?

The next stage requires some additional calculations. Think about the building as two shapes, a rectangle and a triangle. From the measurements you have you can calculate the additional measurement needed to work out the area of the gable end. As you know that one litre of paint covers 10m 2 of wall so we can work out how many litres we need to buy:. In reality you may find that paint is only sold in 5 litre or 1 litre cans, the result is just over 11 litres.