How to Find Area of a Parallelogram How to Find Area of a Parallelogram The total space inside the boundary of the parallelogram is called as the area of the parallelogram. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. In a parallelogram, the opposite sides are equal to each other and the opposite angles are also equal to each other. The sum of all the interior angles of a parallelogram is 1800. Area of a Parallelogram Formula The area of a parallelogram can be found by using the following formula, Area of a parallelogram, A = bh where, b = Base of the parallelogram h = Height of the parallelogram The base and the height of the parallelogram are always perpendicular to each other. We can derive the formula for height of the parallelogram with the help of the area of a parallelogram formula. Parallelogram Height = Area of the parallelogram / Base of the parallelogram. Know More About List of Pythagorean Triples Tutorvista.com

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Example Problems on Area of a Parallelogram Below are some examples based on area of a parallelogram Problem 1: Find the area of a Parallelogram of height h = 9cm and base b = 11.5cm. Solution : We know that the area of parallelogram is, A = bh = (11.5 cm) (9 cm) = 103.5 cm2 Therefore, the area of a parallelogram is 103.5 cm2 Problem 2: The base and height of the parallelogram is 23inch and 15 inch respectively .What is the area of a parallelogram? Solution : Given, Base b =23 inch and height h =15 inch We know that the area of parallelogram is, A = bh Substitute the value of b and h, A = (23 inch) (15 inch) = 345 inch2 Therefore, the area of a parallelogram is 345 inch2 Problem 3: The area of a parallelogram is 34m2.If the height of that parallelogram is 8 m, then find the base of the parallelogram. Solution : Given, area A = 34 m2 and height h =8 m. We know that the area of parallelogram is, Learn More The Midpoint Formula Tutorvista.com

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Area of Square Formula Area of Square Formula The total space inside the boundary of the square is called as the area of a square. The area of a square is measured in terms of square units. In geometry, a square is one of the types of a regular quadrilateral, which means that it has four equal sides and four equal angles which are 90 degree angles or right angles. It has two diagonals and four vertices. The sum of the internal angles of a square is 360 degrees. A diagonal connects the two corners of a square. Two diagonals are equal in length. Area of a Square Formula The formula for area of a square is, Area, A = a2 Where, a is the length of the sides of the square. The total space inside the boundary of the square is called as the area of a square. The area of a square is measured in terms of square units. Finding Area of a Square In a square, the diagonals creates 2 right angled triangle. The sides of the squares are of equal length. Tutorvista.com

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We assume that a is the side length. By using Pythagorean Theorem, we can find the area of a square. a2 + a2 = d. 2a2=d d=2a2 a = /2 where, d is the diagonal length a is the side length The area of square (A) = a2 square units. Example Problems on Area of a Square Below are some examples on area of a square Example 1: Find the area of the square whose diagonal length 36 cm. Solution : Diagonal (d) = 36 cm A = /2,

a = /2

a = 62

a = 3 cm

Area of the square (A) = a x a = a2 square unit.

= 32

Area of the square (A) = 9 cm2

Example 2: Find the area of the square whose diagonal length 64 cm. Solution : Diagonal (d) = 64 cm A = /2

a = /2

a = 82

a = 4 cm