Domenica is creating a banner to hang outside her business. Her design is shown below. It is composed of a square and two equal right triangles, one on either side of the square.
If Domenica makes this banner, what will be the total area of the finished product? Show your work.
Answers
Given : A banner composed of a square and two equal right triangles, one on either side of the square.
To Find : total area of the finished product
Solution:
Area of Square = 8 * 8 = 64 sq feet
Base of two right angle triangle = 20 - 8 = 12 ft
Base of one right angle triangle = 12/2 = 6 ft
Area of one triangle = (1/2)*base * height
Area of two triangles = 2 * (1/2)*base * height
= base * height
= 6 * 8
= 48 sq feet
Total area of finished product = 64 + 48 = 112 sq feet
or we can use formula for area of trapezium
Area = (1/2)(20 + 8) * 8
= 28 * 4
= 112 sq feet
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