Malcolm wants to enlarge a 2-inch by 3-inch photograph by multiplying its dimensions by 5. How will the area of the photograph be affected?
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To find out how the area of the photograph will be affected when its dimensions are multiplied by 5, we need to determine the new area after enlargement.
The original dimensions of the photograph are 2 inches by 3 inches. To find the area, we multiply these dimensions:
Area = length × width
Area = 2 inches × 3 inches
Area = 6 square inches
Now, let's calculate the area after enlarging the photograph. We multiply the original dimensions by 5:
New length = 2 inches × 5 = 10 inches
New width = 3 inches × 5 = 15 inches
The new area is found by multiplying the new length and width:
New area = new length × new width
New area = 10 inches × 15 inches
New area = 150 square inches
Comparing the original area of 6 square inches to the new area of 150 square inches, we see that the area of the photograph is affected by a factor of 25.
Therefore, the area of the photograph is increased by a factor of 25 when its dimensions are multiplied by 5.
To find out how the area of the photograph will be affected, we need to calculate the area before and after enlarging the dimensions.
First, let's calculate the area of the original photograph, which has dimensions 2 inches by 3 inches. The formula to calculate the area of a rectangle is length multiplied by width. So, the area of the original photograph is:
Area = Length x Width = 2 inches x 3 inches = 6 square inches.
Now, if Malcolm wants to enlarge the photograph by multiplying its dimensions by 5, the new dimensions will be 2 inches x 5 = 10 inches for the length and 3 inches x 5 = 15 inches for the width.
To calculate the new area of the photograph after the enlargement, we use the same formula:
Area = Length x Width = 10 inches x 15 inches = 150 square inches.
Therefore, the area of the photograph will be affected by the enlargement, increasing from 6 square inches to 150 square inches.
2 * 3= ?
10 * 15 = ?