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
this answer is incorrect was is the correct answer
Apologies for the error in my previous response. Let's calculate the correct area of the letter.
The letter can be decomposed into a rectangle and two triangles.
Rectangle:
Length = 6.0 cm
Width = 0.8 cm
Area = Length x Width = 6.0 cm x 0.8 cm = 4.8 square cm
Triangle 1:
Base = 0.8 cm
Height = 2.1 cm
Area = 0.5 x Base x Height = 0.5 x 0.8 cm x 2.1 cm = 0.84 square cm
Triangle 2:
Base = 0.8 cm
Height = 0.5 cm
Area = 0.5 x Base x Height = 0.5 x 0.8 cm x 0.5 cm = 0.2 square cm
Total area = Area of rectangle + Area of Triangle 1 + Area of Triangle 2
Total area = 4.8 square cm + 0.84 square cm + 0.2 square cm = 5.84 square cm
Therefore, the artist will need 5.84 square centimeters of gold leaf to cover the letter.
you gave the same answer which is the wrong answer
I apologize for the mistake. Let's re-calculate the correct area of the letter:
Rectangle:
Length = 6.0 cm
Width = 0.8 cm
Area = Length x Width = 6.0 cm x 0.8 cm = 4.8 square cm
Triangle:
Base = 0.8 cm
Height = 2.6 cm (2.1 cm + 0.5 cm)
Area = 0.5 x Base x Height = 0.5 x 0.8 cm x 2.6 cm = 1.04 square cm
Total area = Area of rectangle + Area of Triangle
Total area = 4.8 square cm + 1.04 square cm = 5.84 square cm
Therefore, the artist will need 5.84 square centimeters of gold leaf to cover the letter.
To find the area of the letter, we need to decompose it into simple shapes and calculate the area of each shape.
The letter can be decomposed into a rectangle and two triangles.
Rectangle:
Length = 6.0 cm
Width = 0.8 cm
Area = Length x Width = 6.0 cm x 0.8 cm = 4.8 square cm
Triangle 1:
Base = 0.8 cm
Height = 2.1 cm
Area = 0.5 x Base x Height = 0.5 x 0.8 cm x 2.1 cm = 0.84 square cm
Triangle 2:
Base = 0.8 cm
Height = 0.5 cm
Area = 0.5 x Base x Height = 0.5 x 0.8 cm x 0.5 cm = 0.2 square cm
Total area = Area of rectangle + Area of Triangle 1 + Area of Triangle 2
Total area = 4.8 square cm + 0.84 square cm + 0.2 square cm = 5.84 square cm
Therefore, the artist will need 5.84 square centimeters of gold leaf.