An artitist wants to cover a gold leaf a card with the initial letter shown. Decompose the letter into simple shapes to find the area. How many centimeters of a gold will the artist need.
The letter "A" can be decomposed into a rectangle and two triangles.
To find the area of the rectangle, we need to know the dimensions. Let's assume the width of the rectangle is 3 cm and the height is 5 cm. The area of the rectangle would be:
Area of rectangle = width x height
Area of rectangle = 3 cm x 5 cm
Area of rectangle = 15 square cm
Next, let's find the area of the two triangles. Each triangle can be considered half of a rectangle. So, the area of one triangle would be:
Area of one triangle = 1/2 x base x height
Area of one triangle = 1/2 x 3 cm x 5 cm
Area of one triangle = 7.5 square cm
Since there are two triangles, the total area of both triangles would be 15 square cm.
Therefore, the total area of gold leaf needed to cover the letter "A" would be:
Total area = area of rectangle + area of triangles
Total area = 15 cm² (rectangle) + 15 cm² (triangles)
Total area = 30 square cm
So, the artist would need 30 square cm of gold leaf to cover the letter "A".