Question

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

Answer 1

Answer: 144

Step-by-step explanation: too ez

Answer 2

• 144 in²

Step-by-step 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 × 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 × height = 18 in × 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