if the length and breadth are increased by 5 times each
area becomes 25 times
uhhum i domt know
It is also halved. In general, if you increase any linear measurement of a figure by a certain factor (i.e., stretching the figure so that you obtain a geometrically similar figure), then all linear measurements will increase by the same factor. In this case, all linear measurements of the rectangle are increased by a factor of 0.5 - that includes the length of any side, the perimeter, the half-perimeter, the diagonal, the sum of the diagonals, the length of half the shorter side, or any other linear measurement you can think of.
When a shape is enlarged the multiplying factor is greater than 1. Example : A factor of 7 means that a length of 1cm on the original shape would be represented by a length of 7cm on the enlarged shape.
Scale factor
Theorem: If two similar triangles have a scalar factor a : b, then the ratio of their perimeters is a : bBy the theorem, the ratio of the perimeters of the similar triangles is 2 : 3.For rectangles, perimeter is 2*(L1 + W1). If the second rectangle's sides are scaled by a factor S, then its perimeter is 2*(S*L1 + S*W1) = S*2*(L1 + W1), or the perimeter of the first, multiplied by the same factor S.In general, if an N-sided polygon has sides {x1, x2, x3....,xN}, then its perimeter is x1 + x2 + x3 + ... + xN. If the second similar polygon (with each side (labeled y, with corresponding subscripts) scaled by S, so that y1 = S*x1, etc. The perimeter is y1 + y2 + ... + yN = S*x1 + S*x2 + ... + S*xN = S*(x1 + x2 + ... + xN ),which is the factor S, times the perimeter of the first polygon.
A rectangle 10.5 x 3 will have a perimeter of 27 in.
uhhum i domt know
It will be three times the size. Each length will be multiplied by 3.. Perimeter = h+h+w+w if we multiply each by three then we get 3h+3H+3w+3w = 3P
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
44 x 1.5 = 66.
(20,5)
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.
Tripling the side lengths of a rectangle will triple its perimeter. The perimeter of a rectangle is calculated as ( P = 2(length + width) ). If both the length and width are multiplied by three, the new perimeter becomes ( P' = 2(3 \times length + 3 \times width) = 3 \times P ). Therefore, the perimeter increases by a factor of three.
It depends on the aspect ratio. If it is a square object then it should scale up evenly. But if it is a rectangle then eventually a large enough scale factor will make it looked stretch on the longer sides.
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).
It is also halved. In general, if you increase any linear measurement of a figure by a certain factor (i.e., stretching the figure so that you obtain a geometrically similar figure), then all linear measurements will increase by the same factor. In this case, all linear measurements of the rectangle are increased by a factor of 0.5 - that includes the length of any side, the perimeter, the half-perimeter, the diagonal, the sum of the diagonals, the length of half the shorter side, or any other linear measurement you can think of.
Absolutely nothing. A scale factor of 1 is the same as saying do not change the scale.