100 is the scale factor
Draw a 10 x 20 rectangle.
PUT A HAT On it
It is 5!!!! It can be any number
If you know one of the sides of both the rectangles than you just divide them by one another to find the scale factor.
A rectangle 10.5 x 3 will have a perimeter of 27 in.
Finding the scale factor for two polygons is simple to do. All you have to do is find the angles in a rectangle.
you make it into a fraction and multipy it by any giant one. then you have to REDUCE it
If you assume that 2.5 refers to the scale factor, you multiply each linear measurement by 2.5. This includes the width, the length, and - if you want to use it to construct your new rectangle - the diagonals. It also happens to include the perimeter, but you probably won't need that to construct the rectangle.
The ratio of the perimeters is equal to the scale factor. If rectangle #1 has sides L and W, then the perimeter is 2*L1 + 2*W1 = 2*(L1 + W1).If rectangle # 2 is similar to #1 and sides are scaled by a factor S, so that L2 = S*L1 and W2 = S*W1, the perimeter of rectangle #2 is 2*(L2 + W2)= 2*(S*L1 + S*W1) = S*2*(L1 + W1) = S*(perimeter of rectangle #1).
To find the new area, you have to multiply the original area by the square of the scale change. For example, you have a rectangle with adjacent sides of 3 and 4. Another rectangle has the same dimensions but with triple the scale. The original rectangle's area is 12. Multiply that by 9, which is the square of the new scale, and you get an area of 108. That matches up with the area of the new rectangle, which has adjacent sides of 12 and 9.
When enlarging each length is multiplied by the scale factor, so with a scale factor of 2 each length is multiplied by 2, to give a new rectangle 1cm x 2 = 2cm by 2 x 3cm = 6cm.