Q. 225.0( 4 Votes )

A hand fan is made by stitching 10 equal size triangular strips of two different types of paper as shown in the figure. The dimensions of equal strips are 25 cm, 25 cm, and 14 cm. Find the area of each type of paper needed to make the hand fan.

Answer :

Given: Dimensions of equal strips are 25 cm, 25 cm, and 14 cm.

To Find: Find the area of each type of paper


Concept Used:


If sides of a triangle are a, b, and c, then area of a triangle is given by:



Where s = semiperimeter of the triangle



Diagram:



Explanation:


There are a total of 2 types of paper used.


= A total of 5 parts


= A total of 5 parts.


Now, we can see that there are 5 papers for each type.


And the area of each piece is equal to the sides of the triangles are all equal.


Let us calculate the area of one triangle.




s = 32 cm





Area = 4 × 7 × 2 × 3 cm2


Area = 168 cm2


Now, Area of paper = 5 × 168 cm2 = 840 cm2


Area of paper = 5 × 168 cm2 = 840 cm2


Hence, Area needed of each type of paper is 840 cm2.


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