Perimeter is defined as the total of the peripheries of any figure that is the sum total of all sides of a figure. Perimeter is defined for almost every figure that is triangle, rectangle, square and others. For a Rectangle, a perimeter is determined by sum of all sides. Similarly perimeter of a triangle is determined by the sum of all sides of triangle. Area is termed as total area covered by any figure or total space covered by any figure is defined as area for that figure. Perimeter and area of similar figures may be equal or may not be equal as similarity is defined in different forms for Triangles. It includes SAS congruency, ASA congruency, RHS congruency, AAS congruency and SSS congruency. Any two triangles are said to be similar if they satisfy the above congruency conditions.
Perimeter and Area Word ProblemsBack to Top
To solve these problems first you require noting all data in numeric way. Next step would be using formulae that have been defined for various shapes. Let us see some examples of word problems solving for area and perimeter.
1. Length of one side of a Square is 10 units. What will be the area and perimeter of square?
About square we know that all of its sides are of equal length. It means all sides will have same measure s = 10.
Area of a square is given as A = s × s = 10 × 10 = 10 unit2,
Perimeter is given as: P = 4s = 4 * 10 = 40 units.
2. Let us now make the problem more complicated by taking a small square inside bigger one. Length of one side of small square is 4 units and that of bigger one is 8 units.
Calculate the area and perimeter for both squares?
Figure for problem can be drawn as:
Area of small square can be calculated as a = 4 * 4 = 16 units2,
To calculate area of bigger square we need to subtract space occupied by smaller square in bigger one. So, area for bigger square can be calculated as: 8 * 8 – 16 = 64 – 16 = 48 units2.
Perimeter inner: 4 * 4 = 16 units.
Perimeter outer: 4 * 8 = 32 units.