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Giuliana built the side of a step stool, according to the plans shown below. A step stool can be broken into a rectangle and 2 triangles. The rectangle has a base of 18 inches and height of 4 inches. The triangles each have a base of 9 inches and height of 8 inches. If the figure is symmetrical, what is the area of the side of the step stool that she built, in square inches? Inches squared

Respuesta :

Edufirst

Answer:

  • 144 in┬▓

Explanation:

See the plans in the figure attached.

The area represented by that figure may be calculated as the area of the rectangle with dimensions 18 in ├Ч 12 in less the area of the "hole" which has form of triangle with base 18 in and height equal to 12 in - 4in, 8 in.

1. Area of the rectangle

  • Area = base ├Ч height = 18 in ├Ч 12 in = 216 in┬▓

2. Area of the triangle with base 18 in and height 8 in.

Area = base ├Ч height / 2 = 18 in ├Ч 8 in / 2 = 72 in┬▓

3. Area of the side of the step stool:

  • 216 in┬▓ - 72 in┬▓ = 144 in┬▓

Ver imagen Edufirst

Answer: 144

Step-by-step explanation: too ez

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