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. Letter: H Numbers: 0.5 x 0.8, 6 x 0.8, 2.1 x ?
To find the area of the letter "H" we need to decompose it into simple shapes.
The letter "H" can be divided into three rectangles:
1. A rectangle with dimensions 0.5 cm x 0.8 cm
2. A rectangle with dimensions 6 cm x 0.8 cm
3. A rectangle with dimensions 2.1 cm x ?
To find the missing dimension of the third rectangle, we can calculate it by subtracting the sum of the other two rectangle dimensions from 2.1 cm:
2.1 cm - (0.5 cm + 6 cm) = 2.1 cm - 6.5 cm = -4.4 cm
Since a negative dimension does not make sense in this context, it is likely that there was an error in measurement provided for the letter "H".
Therefore, the gold leaf artist cannot accurately determine the amount of gold leaf required without a valid dimension for the missing rectangle.