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Let's get at the idea by working backward. Suppose we know the scale factor; what will the ratio of perimeters be? For instance, suppose we have two triangles; one has sides of 3, 4, and 5 inches; the other has sides of 33, 44, and 55 inches. The scalefactor is 11: you multiply each side length of the first triangle to get the corresponding side length of the second triangle. Now look at the perimeters. The perimeter of the first triangle is 3+4+5 = 12 inches. The perimeter of the second triangle is 33+44+55 = 132 inches. The ratio of perimeters is 132/12 = 11. Do you notice that it's the same as the scale factor? This will always be true! Here is why. We can write the sides of the second triangle as 3*11, 4*11, and 5*11. Then the perimeter is 3*11 + 4*11 + 5*11 = (3 + 4 + 5)*11 using the distributive property. To find the ratio of perimeters, divide this by the perimeter of the first triangle: (3+4+5)*11 ---------- = 11 3+4+5 Let's continue and think about the ratio of areas. The triangles I chose happen to be right triangles (do you know how to show this?) so the area is half the product of the two shorter sides. Thus the area of the first triangle is (3*4)/2 = 6 square inches. The area of the second triangle is (33*44)/6 = 726 square inches. The ratio of areas is 726/6 = 121. This ratio happens to be 11 squared. It will always be true that the ratio of areas is the square of the scale factor. Again, we can see why this is true. Writing the sides of the second triangle as 3*11 and 4*11, the area is 3*11 * 4*11 = (3*4)*(11*11) Divide this by the area of the first triangle to find the ratio of areas: (3*4)*(11*11) ------------- = 11*11 = 11^2 3*4 Do you see how it works now? What is the answer to your problem?
What else can I help you with?
Perimeter ratio 100 and find scale factor?
The linear scale factor is 100.
How can you use scale factor to find a new perimeter and area?
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
How do you find scale factor?
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
How do you 'find the ratio of its length to its perimeter?
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
What is the scale factor of triangle ABC to triangle XYZ?
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.
Perimeter ratio 100 and find scale factor?
The linear scale factor is 100.
How can you use scale factor to find a new perimeter and area?
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
How do you find scale factor?
# is the ratio of the demensions in the drawing to the corresponding actual dimensions. The scale factor for a scale drawing is the ratio of the dimensions in the drawing to the corresponding acual bimensions.
How do you find the scale factor of dilation?
The scale factor is the ratio of any side of the image and the corresponding side of the original figure.
How do you 'find the ratio of its length to its perimeter?
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
How do you find the ratio of the perimeter of two similar rectangles?
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).
What is the scale factor of triangle ABC to triangle XYZ?
The scale factor of triangle ABC to triangle XYZ can be determined by comparing the lengths of corresponding sides of the two triangles. To find the scale factor, divide the length of a side in triangle ABC by the length of the corresponding side in triangle XYZ. If all corresponding sides have the same ratio, that ratio is the scale factor for the triangles.
Show how to find scale factor of a small triangle to a larger similar triangle?
The ratio of the length of the side in the big triangle to the length of the corresponding side in the little triangle is the scale factor.
If two polygons are similar how can you find the scale factor from one polygon to the other?
divide the perimeter by 27 the multiply it by 3 and then u get the answer
Polygons abcd and efgh are similar. find the perimeter of efgh?
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
How do you find the volume of a similar prism with only the scale factor and volume of the other prism?
The ratio of the volumes of similar solids is (the ratio of their linear dimensions)3 .
What is the perimeter of Minnesota in feet?
I highly doubt anyone knows. Perhaps, find a large map of Minnesota, estimate its perimeter (maybe by surrounding the border with string) then multiply by the proper scale factor.
