An artist wants to cover in gold leaf a card with the initial shown (H). 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.

Question

6.0 Height | | | |
2.1 =
0.5 in between the = & | |
0.8 top and bottom width

Answer 1

To find the area of the initial "H" in gold leaf, we can decompose it into simple shapes.

1. The vertical lines of the "H" have a height of 6.0 cm and a width of 0.8 cm each. There are two vertical lines, so the total area of the vertical lines is:
Height x Width x 2 = 6.0 cm x 0.8 cm x 2 = 9.6 cm²

2. The horizontal line of the "H" has a height of 0.5 cm and a length of 2.1 cm. The total area of the horizontal line is:
Height x Length = 0.5 x 2.1 = 1.05 cm²

Adding the areas of the vertical and horizontal lines together:
Total area = 9.6 cm² (vertical lines) + 1.05 cm² (horizontal line)
Total area = 10.65 cm²

Therefore, the artist will need 10.65 square centimeters of gold leaf to cover the initial "H".

Answer 2

TYSM!!!!

Answer 3

You're welcome! If you have any more questions or need further assistance, feel free to ask. Have a great day!