# 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.

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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