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)

1 answer

To find the area of the letter H, we can decompose it into simple shapes - two rectangles and one square.

The area of the two rectangles:
Area = length x width
Area = 6.0 x 0.8 = 4.8 square centimeters
Area = 6.0 x 0.8 = 4.8 square centimeters

The area of the square:
Area = side x side
Area = 2.1 x 0.5 = 1.05 square centimeters

Total area of gold leaf needed = 4.8 + 4.8 + 1.05 = 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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