A rectangle has a width of 4 inches and a length of 6 inches. A similar rectangle has a width of 12 inches. What is the length of the similar rectangle?
12/4 = L/6, L = ?.
To find the length of the similar rectangle, we can use the concept of proportions. When two shapes are similar, their corresponding sides are proportional.
In this case, we can set up a proportion with the corresponding side lengths of the two rectangles:
width of rectangle 1 / width of rectangle 2 = length of rectangle 1 / length of rectangle 2
Let's substitute the given values:
4 inches / 12 inches = 6 inches / length of rectangle 2
To solve for the length of the similar rectangle, we cross-multiply:
4 inches * length of rectangle 2 = 12 inches * 6 inches
Simplifying the equation:
4 * length of rectangle 2 = 72
Now, divide both sides of the equation by 4:
(length of rectangle 2) = 72 / 4
(length of rectangle 2) = 18 inches
Therefore, the length of the similar rectangle is 18 inches.