Two similar rectangles ABCD and WXYZ such as AB=4cm, WX=5cm,XY=9cm.what are the corresponding sides.
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AB/WX = 4/5
All sides of ABCD are 4/5 as long as those of WXYZ
To find the corresponding sides of two similar rectangles, we need to use the ratio of their corresponding sides.
Given:
AB = 4 cm
WX = 5 cm
XY = 9 cm
Let's find the ratio of the corresponding sides.
Ratio of AB to WX = AB/WX
Ratio of AB to WX = 4/5
Now we can find the corresponding sides of the rectangles using this ratio.
Corresponding side BC = (Ratio of AB to WX) * (corresponding side WY)
Corresponding side BC = (4/5) * 9
Corresponding side BC = 36/5 cm
Corresponding side CD = (Ratio of AB to WX) * (corresponding side YZ)
Corresponding side CD = (4/5) * 5
Corresponding side CD = 4 cm
Therefore, the corresponding sides of rectangle ABCD are:
AB = 4 cm
BC = 36/5 cm
CD = 4 cm
To find the corresponding sides of two similar rectangles, we need to determine the scale factor between the two rectangles.
The scale factor can be found by dividing the length of one side of one rectangle by the corresponding side of the other rectangle.
In this case, we have AB = 4cm in rectangle ABCD and WX = 5cm in rectangle WXYZ. Therefore, we can find the scale factor by dividing AB by WX.
Scale factor = AB / WX = 4cm / 5cm = 0.8
Now, we can use this scale factor to find the corresponding sides of the two rectangles.
Corresponding side of rectangle WXYZ = Scale factor * Length of corresponding side of rectangle ABCD
Corresponding side XY of rectangle WXYZ = 0.8 * 9cm = 7.2cm
So, the corresponding side of rectangle WXYZ to AB is XY, which has a length of 7.2cm.