Question

Use the image to answer the question.

An illustration shows the outline of an uppercase letter H. The vertical sides are labeled as 6.0, and the base of each leg is 0.8. The length of the horizontal bridge in the middle is 2.1, and the width is 0.5, denoted by a dashed line on the right side.

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.

(1 point)
The artist will need___square centimeters of gold leaf.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the area of the letter H, we can decompose it into three simple shapes: two rectangles for the vertical sides and one rectangle for the horizontal bridge.

First rectangle:
Height = 6.0
Width = 0.8
Area = 6.0 x 0.8 = 4.8 square centimeters

Second rectangle:
Height = 6.0
Width = 0.8
Area = 6.0 x 0.8 = 4.8 square centimeters

Third rectangle (bridge):
Height = 2.1
Width = 0.5
Area = 2.1 x 0.5 = 1.05 square centimeters

Total area = 4.8 + 4.8 + 1.05 = 10.65 square centimeters

Therefore, the artist will need 10.65 square centimeters of gold leaf.