25/100 = 1/4 (divide both numerator and denominator by 25)
350/1000 = 35/100 = 7/20.
You are going to build a new garage similar to the rectangular one you currently have. The current dimensions are 16 feet wide by 24 feet long. You need to stake and rope off where the concrete will be poured. If the new garage is going to have a width of 24 feet, how much rope are you going to need?
-60 feet
-120 feet
-112 feet
-56 feet
Remember that
If two figures are similar, then the ratio of its corresponding sides is proportional , and this ratio is called the scale factor
In this problem
the scale factor is
24/16=1.5
so
the length is equal to
Check the picture below.
let's recall that a circle has 360°, so that means every two radii coming from the center of the hexagon, will split those 360° in 6 even pieces, 360/6 = 60, namely those two radii make up a 60° central angle, as you see in the picture.
running a perpendicular from the center, we end up with a 30-60-90 triangle, as you see there, and thus we can use the 30-60-90 rule to get the length of "a".
now, keeping in mind that the perimeter of the polygon is simply 4+4+4+4+4+4 = 24.