Use Area to Solve Problems Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
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.
To find the area of the letter H, we can decompose it into simple shapes - two rectangles and two triangles.
First, we find the area of the two rectangles:
Area = length * width
Area = 6.0 * 0.8 = 4.8 square centimeters (each rectangle)
Total area of rectangles = 4.8 * 2 = 9.6 square centimeters
Next, we find the area of the two triangles:
Area = 0.5 * (0.5 * 2.1) = 0.525 square centimeters (each triangle)
Total area of triangles = 0.525 * 2 = 1.05 square centimeters
Total area of the letter H = 9.6 + 1.05 = 10.65 square centimeters
Therefore, the artist will need 10.65 square centimeters of gold leaf.