Question

2. A drawing of a sailboat was made using a rectangle and two right triangles, as shown. What

is the area of the drawing of the sailboat in square centimeters?

Answer 1

67.5

Explanation:

Answer 2

45 square centimeters

Explanation:

The area of the triangle is given by ...

A = (1/2)bh

where b is the base, 2 cm + 3 cm = 5 cm, and h is the height, 6 cm.

A = (1/2)(5 cm)(6 cm) = 15 cm^2

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The area of the rectangle is given by ...

A = bh

where b is the base, 12 cm, and h is the height, 2.5 cm.

A = (12 cm)(2.5 cm) = 30 cm^2

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The area of the whole figure is the area of the triangle added to the area of the rectangle:

drawing area = 15 cm^2 + 30 cm^2 = 45 cm^2