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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 in²

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 Ă— 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 Ă— height = 18 in Ă— 12 in = 216 in²

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

Area = base × height / 2 = 18 in × 8 in / 2 = 72 in²

3. Area of the side of the step stool:

  • 216 in² - 72 in² = 144 in²

Ver imagen Edufirst

Answer: 144

Step-by-step explanation: too ez

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