An artist wants to cover in gold leaf a card with the initial letter shown. Decompose the letter into simple shapes to find the area. How many square centimeters of gold leaf will the artist need? Do not round your answer. 6, 0.8, 2.1, 0.5, 0.8 Letter H
The letter H can be decomposed into 3 rectangles and 2 squares.
Rectangles:
- Width: 2 cm, Height: 6 cm
- Width: 0.8 cm, Height: 6 cm
- Width: 0.8 cm, Height: 2.1 cm
Squares:
- Side length: 0.5 cm
- Side length: 0.5 cm
To find the area of each shape:
Rectangle 1: 2 cm * 6 cm = 12 cm^2
Rectangle 2: 0.8 cm * 6 cm = 4.8 cm^2
Rectangle 3: 0.8 cm * 2.1 cm = 1.68 cm^2
Square 1: 0.5 cm * 0.5 cm = 0.25 cm^2
Square 2: 0.5 cm * 0.5 cm = 0.25 cm^2
Total area of gold leaf needed:
12 cm^2 + 4.8 cm^2 + 1.68 cm^2 + 0.25 cm^2 + 0.25 cm^2 = 18.98 cm^2
The artist will need 18.98 square centimeters of gold leaf to cover the letter H.