To find the total area the artist will need to cover in gold leaf, we need to calculate the area of each individual shape that makes up the letter H and then add them together.
1. Area of the two vertical sides:
Each vertical side is a rectangle with a base of 0.5 (width of the letter H) and a height of 6.0. Area = base x height.
Area = 0.5 x 6.0 = 3.0 square centimeters for each side, so for both sides: 3.0 x 2 = 6.0 square centimeters.
2. Area of the horizontal bridge:
The horizontal bridge is a rectangle with a base of 2.1 and a height of 0.5. Area = base x height.
Area = 2.1 x 0.5 = 1.05 square centimeters.
Total area = 6.0 (for vertical sides) + 1.05 (for horizontal bridge) = 7.05 square centimeters.
Therefore, the artist will need 7.05 square centimeters of gold leaf to cover the initial letter H.
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.
7 answers
Wrong
I apologize for the mistake. Let's recalculate the total area the artist will need to cover in gold leaf for the letter H.
1. Area of the two vertical sides:
Each vertical side is a rectangle with a base of 0.8 (length of the vertical side) and a height of 6.0. Area = base x height.
Area = 0.8 x 6.0 = 4.8 square centimeters for each side, so for both sides: 4.8 x 2 = 9.6 square centimeters.
2. Area of the horizontal bridge:
The horizontal bridge is a rectangle with a base of 2.1 and a height of 0.5. Area = base x height.
Area = 2.1 x 0.5 = 1.05 square centimeters.
Total area = 9.6 (for vertical sides) + 1.05 (for horizontal bridge) = 10.65 square centimeters.
Therefore, the artist will need 10.65 square centimeters of gold leaf to cover the initial letter H.
1. Area of the two vertical sides:
Each vertical side is a rectangle with a base of 0.8 (length of the vertical side) and a height of 6.0. Area = base x height.
Area = 0.8 x 6.0 = 4.8 square centimeters for each side, so for both sides: 4.8 x 2 = 9.6 square centimeters.
2. Area of the horizontal bridge:
The horizontal bridge is a rectangle with a base of 2.1 and a height of 0.5. Area = base x height.
Area = 2.1 x 0.5 = 1.05 square centimeters.
Total area = 9.6 (for vertical sides) + 1.05 (for horizontal bridge) = 10.65 square centimeters.
Therefore, the artist will need 10.65 square centimeters of gold leaf to cover the initial letter H.
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