A picture 1.5 in by 2.5 in is enlarged in the ratio 5:8. Find the dimensions of the enlarged copy
1.5 * 8/5 = .3*8 = 2.4
2.5 * 8/5 = .5*8 = 4.0
4.0
To find the dimensions of the enlarged copy, we will use the concept of ratios.
Let's assume the dimensions of the enlarged copy are x inches by y inches.
We are given that the original picture has dimensions of 1.5 inches by 2.5 inches and that it is enlarged in the ratio 5:8.
The ratio 5:8 tells us that the dimensions of the enlarged copy are 5 times larger than the original in one direction and 8 times larger in the other direction.
So, we can set up the following equations based on the ratio:
x/1.5 = 5/1 (since one side is enlarged 5 times)
y/2.5 = 8/1 (since the other side is enlarged 8 times)
Now, let's solve for x and y:
x = (5/1) * 1.5 (multiplying both sides by 1.5 to isolate x)
x = 7.5 inches
y = (8/1) * 2.5 (multiplying both sides by 2.5 to isolate y)
y = 20 inches
Therefore, the dimensions of the enlarged copy are 7.5 inches by 20 inches.