A rectangle has a width of 5 meters and length of 14 meters. If a similar rectangle has a width of 15 meters, what's its perimeter, in meters?
sides must be in the same ratio, thus the perimeter is in the same ratio
ratio of sides = 15/5 = 3:1
perimeter of original = 38
so perimeter of new one = 3(38) = 114
Well, if the first rectangle has a width of 5 meters and a length of 14 meters, I'd say it's quite...rectangular! But let's move on to the second rectangle. If it is similar to the first one and has a width of 15 meters, then we can use a little math to find its length. Since the ratio of their sides is the same, we can set up a proportion: 5/14 = 15/x, where x is the unknown length of the second rectangle. Cross multiplying, we get 5x = 14*15, which simplifies to x = 14*15/5. Now let's calculate the perimeter, shall we? P = 2(width + length) = 2(15 + 14*15/5) = 2(15 + 42) = 2(57) = 114 meters. Ta-da! The perimeter of the second rectangle is 114 meters. I hope that adds up!
To find the perimeter of a rectangle, you add up all four sides. For a rectangle, opposite sides have the same length.
Given that the width of the original rectangle is 5 meters and the length is 14 meters, the perimeter of the original rectangle would be:
Perimeter = 2 * (Width + Length)
Perimeter = 2 * (5 + 14)
Perimeter = 2 * (19)
Perimeter = 38 meters
Since the new rectangle is similar to the original and has a width of 15 meters, we can use the same ratio to find its length.
The ratio of the width of the new rectangle to the original rectangle is 15/5 = 3.
So, the length of the new rectangle can be found by multiplying this ratio by the original length:
Length of the new rectangle = Length of the original rectangle * Ratio
Length of the new rectangle = 14 * 3
Length of the new rectangle = 42 meters
Now, we can find the perimeter of the new rectangle using the same formula as before:
Perimeter = 2 * (Width + Length)
Perimeter = 2 * (15 + 42)
Perimeter = 2 * (57)
Perimeter = 114 meters
Therefore, the perimeter of the similar rectangle with a width of 15 meters is 114 meters.
To find the perimeter of a rectangle, you need to add up the lengths of all its sides. In this case, we have a rectangle with a width of 5 meters and a length of 14 meters.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (Length + Width)
Using this formula, we can calculate the perimeter of the original rectangle:
Perimeter = 2 * (14 + 5)
Perimeter = 2 * 19
Perimeter = 38 meters
Now, we need to find the perimeter of the similar rectangle, which has a width of 15 meters. Since the similar rectangle maintains the same proportions as the original rectangle, we can use ratios to find the length of the similar rectangle.
The ratio of the width between the two rectangles is:
15 / 5 = 3
So, the length of the similar rectangle would be:
Length of similar rectangle = 3 * 14
Length of similar rectangle = 42 meters
Now, we can calculate the perimeter of the similar rectangle using the same formula as before:
Perimeter of similar rectangle = 2 * (42 + 15)
Perimeter of similar rectangle = 2 * 57
Perimeter of similar rectangle = 114 meters
Therefore, the perimeter of the similar rectangle with a width of 15 meters is 114 meters.