The ratio of the width to the length of a rectangle is 2: 3, respectively. answer each of the following. by what percent would the area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?

= 200%

Step-by-step explanation:

200%

Step-by-step explanation:

Length and breadth is in the ratio 2:3

Then, let length = 2x and breadth = 3x

Area of rectangle = l×b = 2x×3x = 6

Now if breadth is increased by 50% ,

our new breadth will be = 3x + 50%(3x)

                                       = 4.5x

And length is increased by same number of units, length = 2x+ 2x = 4x

New area = l×b = 4.5x × 4x

                        = 18

Percentage change in area = ×1000

                                           = ×100

                                           = 200%

Step-by-step explanation:

Let L & B be the original length & width of the rectangle then its area is

A0=LB

Now, the length & width both are increased by 50 % then new length & width become 1.5L & 1.5B then new area of rectangle

A1=1.5L×1.5B=2.25LB

Now, the percentage increase in the area of rectangle

=A1−A0A0×100 %

=2.25LB−LBLB×100 %

=125 %

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it