A rectangular photo measures 18cm by 7cm. The lengths are enlarged in the ratio 2:3. What is the ratio of the original photo to the area of the enlarged photo?
reverse the scale. Multiply the lengths by 3:2
To find the ratio of the original photo to the area of the enlarged photo, we first need to determine the dimensions of the enlarged photo.
Given that the lengths are enlarged in the ratio 2:3, we can calculate the dimensions of the enlarged photo as follows:
Length of the enlarged photo:
18cm * (3/2) = 27cm
Width of the enlarged photo:
7cm * (3/2) = 10.5cm
Now we can determine the areas of both the original and the enlarged photos:
Area of the original photo:
18cm * 7cm = 126 square cm
Area of the enlarged photo:
27cm * 10.5cm = 283.5 square cm
Finally, we can calculate the ratio of the original photo to the area of the enlarged photo:
Ratio = Area of the original photo / Area of the enlarged photo
Ratio = 126 square cm / 283.5 square cm
Simplifying the ratio, we get:
Ratio = 2:15
Therefore, the ratio of the original photo to the area of the enlarged photo is 2:15.
To find the ratio of the original photo to the area of the enlarged photo, we need to calculate the area of both the original and enlarged photos.
The original photo measures 18cm by 7cm, so its area is given by:
Area_original = length_original * width_original
= 18cm * 7cm
= 126cm^2
Now, let's calculate the dimensions of the enlarged photo. The lengths are enlarged in the ratio 2:3, which means the length is multiplied by 3/2 and the width remains the same.
Length_enlarged = 18cm * (3/2)
Width_enlarged = 7cm
The area of the enlarged photo is then:
Area_enlarged = Length_enlarged * Width_enlarged
= (18cm * (3/2)) * 7cm
= 189cm^2
Now, calculate the ratio of the original photo to the area of the enlarged photo:
Ratio = Area_original / Area_enlarged
= 126cm^2 / 189cm^2
= 2/3
So, the ratio of the original photo to the area of the enlarged photo is 2:3.