# Elements of Architecture

## Geometric Shapes in Architecture

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## Area of a
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Trapezoid
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Area of a Trapezoid = 1/2 x Altitude x Sum of the Bases

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Example:
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Find the area of a trapezoid whose bases are 10 cm. and 14 cm. and whose altitude is 6 cm. Iong.

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Solution:
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A = 1/2h(b1+ b2) A= 1/2 x 6(10 + 14)= 3 x 24= 72 sq. cm.

Suggested Assignment:

Using polygons, design a house or other building. Find the areas of the exterior walls, the roof, the doors, and the windows.

### Exercises:

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- Find the areas of the following figures:
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- 2.
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- 7.
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- 9. At $8.50 a square yard, what is the cost of laying a cement floor in a garage that is 6 yards long and 7 yards wide?
- 10. At $1.85 a square yard, find the cost of painting the front and rear gables of a house 18 ft. wide, the height of the ridge above the eaves being 10 ft.
- 11. QRST is a rectangle. Find the area of: