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.
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If Domenica makes this banner, what will be the total area of the finished product? Show your work.
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Answer: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
Step-by-step explanation:
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