If a picture is 4 inches tall and 9 in. wide is to be scaled to 2.5 in. tall how wide should the be for the two pictures to be similar?
Let x = width.
x/2.5 = 9/4
Solve for x.
To find the width of the second picture when it is scaled to 2.5 inches tall, we need to use the concept of proportions. The key is to set up a ratio between the height and width of the first picture and the height and width of the second picture.
Let's denote the width of the second picture as "x".
Using the given information, the ratio between the height and width of the first picture is:
Height (first picture) / Width (first picture) = 4 inches / 9 inches
Since the two pictures are similar, the ratio should remain the same when the first picture is scaled down to the size of the second picture. Therefore, we can set up the following proportion:
Height (second picture) / Width (second picture) = 2.5 inches / x
Now, we can solve for "x" by setting up the proportion:
4 inches / 9 inches = 2.5 inches / x
To solve for "x," we can cross-multiply:
4 inches * x = 9 inches * 2.5 inches
The equation becomes:
4x = 22.5
Now, divide both sides of the equation by 4 to isolate "x":
x = 22.5 / 4
x ≈ 5.625 inches
Therefore, the width of the second picture, for the two pictures to be similar, should be approximately 5.625 inches.