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 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.

1 answer

To find the area of the letter, we can decompose it into simple shapes.

The letter consists of two rectangles and two triangles.

The first rectangle has dimensions 2 cm by 6 cm, so its area is 2 * 6 = 12 square cm.

The second rectangle has dimensions 2 cm by 4 cm, so its area is 2 * 4 = 8 square cm.

Each triangle has a base of 4 cm and a height of 2 cm, so the area of each triangle is 0.5 * base * height = 0.5 * 4 * 2 = 4 square cm. Since there are two triangles, the total area for both triangles is 2 * 4 = 8 square cm.

Therefore, the total area of the letter is 12 + 8 + 8 = 28 square cm.

So, the artist will need 28 square centimeters of gold leaf.
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