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# Math Examples of Polygons

• ## The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

We know that difference between two Numbers is obtained by subtracting one number from another. This subtraction is shown by the ‘-’ symbol. If A and B are two numbers then A – B is known as difference. Sum of the two numbers A and B is given by the addition of two numbers. Symbol ‘+’ is used to show the addition. Mathematically it is represented as A + B. Term Square refers to two times multiplication of the given number by itself. That is the square of the number A is A * A. It is also represented as (A) 2.
Product of two numbers is given by simply multiplying two numbers that is if A and B are two numbers then their product will be (A * B).

Example:
If the difference between two no is 9 and the product of the two is 14, what is the square of their sum?
Solution: Let’s take two numbers - 7 and 2. Difference of these two numbers is 9. Mathematically, it can be shown as, if A = 7 and B = 2 then difference will be 7 – (- 2) = 9 and their product will be 14 that is
(7 * (- 2)) = - 14,

Now sum of these two numbers will be given by following formula:
A + B = 7 + (-2) = 7 – 2 = 5,
Square of sum of given number will be given as:
[7 + (-2)] 2 = (7 – 2) 2 = (5) 2 = 5 * 5 = 25. Thus final answer will be 25 (square of sum of given numbers) for those numbers whose difference is equals to 9 and whose product is equals to – 14.

## Find the perimeter of a parallelogram if the measure of the two adjacent sides are 15 in. and 23 in.?

Parallelogram is composed of two pairs of parallel sides. Arms in front of each other are of equal length and angles opposite to each other are of similar value in a Parallelogram. Various types of parallelogram are rhomboid parallelogram, rectangle parallelogram, rhombus parallelogram and Square parallelogram. In short, we can say that parallelogram is a four sided figure which consists of two pairs of parallel sides. Sums of angles of parallelogram is  2π radians.
Following figure shows parallelogram’s basic structure.

Area of a parallelogram is similar to that of degree of vector cross product of two adjacent sides. Mathematically, area of a parallelogram can be given by multiplication of base and height of the parallelogram. This can be expressed as:
Area = h × b (unit) 2. Here unit may be foot or cm or inch and so on.
Perimeter of parallelogram can be measured in a two dimensional figure. Perimeter is also called as circumference.
Perimeter = 2 (h × b) units.
If two sides of parallelogram are given to us then it is very easy to calculate the Area And Perimeter of parallelogram using standard formula.
Let’s try to find the perimeter of a parallelogram if the measure of the two adjacent sides are 15 in and 23 in, then to calculate perimeter following formulas are used.
Area = 15 inch * 23 inch = 345 inch2 and Perimeter of Parallelogram will be given as
Perimeter = 2 (area of parallelogram) = 2 * 345 inch2 = 690 inch2.
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