Three pictures hang side by side. What is the total area of the wall that the pictures cover
Picture 1-10 1/2 inches
Picture 2-10 1/2 inches
Picture 3-10 1/2 inches
Width is 14 2/3 inches
I would think I would need to add 10 1/2 plus 10 1/2 plus 10 1/2 and then multiply that answer by 14 2/3 inches
Am I right or wrong?
You are on the right track. To find the total area of the wall covered by the three pictures, you would need to add the widths of the three pictures and then multiply that sum by the width of the wall.
So, your calculation would be:
(10 1/2 inches + 10 1/2 inches + 10 1/2 inches) × 14 2/3 inches.
Let's simplify the calculation step-by-step:
10 1/2 inches + 10 1/2 inches + 10 1/2 inches = 31 1/2 inches
Now, multiply this sum by the width of the wall:
31 1/2 inches × 14 2/3 inches.
To simplify this multiplication, first convert both the mixed number and the fraction to improper fractions:
31 1/2 inches = 63/2 inches
14 2/3 inches = 44/3 inches
Now multiply the fractions:
(63/2 inches) × (44/3 inches) = (63 × 44) / (2 × 3) = 2772/6 inches
Finally, simplify the result:
2772/6 inches = 462 inches
So, the total area of the wall covered by the three pictures is 462 square inches.
To find the total area of the wall covered by the pictures, you need to calculate the area of each picture individually and then add them together.
To calculate the area of a rectangle, you multiply the length by the width. In this case, the width of the wall is given as 14 2/3 inches.
For each picture, the length is given as 10 1/2 inches. To find the area of each picture, you multiply 10 1/2 by 14 2/3.
Let's break it down:
Picture 1:
Length = 10 1/2 inches
Area of Picture 1 = 10 1/2 inches * 14 2/3 inches = 155 1/3 square inches
Picture 2:
Length = 10 1/2 inches
Area of Picture 2 = 10 1/2 inches * 14 2/3 inches = 155 1/3 square inches
Picture 3:
Length = 10 1/2 inches
Area of Picture 3 = 10 1/2 inches * 14 2/3 inches = 155 1/3 square inches
Now, to find the total area, you need to add the areas of all three pictures together:
Total Area = Area of Picture 1 + Area of Picture 2 + Area of Picture 3
= 155 1/3 square inches + 155 1/3 square inches + 155 1/3 square inches
= 3 * 155 1/3 square inches
= 466 square inches.
So, the total area of the wall covered by the pictures is 466 square inches.