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.
To find the area of the letter H, we can decompose it into simple shapes. The letter H can be divided into two rectangles (one for each vertical side) and one rectangle (the horizontal bridge).
For the vertical sides:
Area = Height x Width
Area = 6.0 cm x 0.8 cm = 4.8 square cm (for each vertical side)
For the horizontal bridge:
Area = Length x Width
Area = 2.1 cm x 0.5 cm = 1.05 square cm
Total area = 4.8 square cm (vertical side) x 2 + 1.05 square cm (horizontal bridge) = 10.65 square cm
Therefore, the artist will need 10.65 square centimeters of gold leaf.