unit 5 lesson 6 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. 6.0, 0.8,2.1, 0.8, 0.5
To find the area covered by the initial letter, we need to decompose it into simple shapes. The letter can be decomposed into a rectangle with dimensions 6 cm by 2 cm, a triangle with base 2 cm and height 0.8 cm, and a triangle with base 2.1 cm and height 0.5 cm.
Area of rectangle = length x width = 6 cm x 2 cm = 12 square cm
Area of first triangle = 0.5 x base x height = 0.5 x 2 cm x 0.8 cm = 0.8 square cm
Area of second triangle = 0.5 x base x height = 0.5 x 2.1 cm x 0.5 cm = 0.525 square cm
Total area = 12 square cm + 0.8 square cm + 0.525 square cm = 13.325 square cm
Therefore, the artist will need 13.325 square centimeters of gold leaf.