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15.
BCD are two similar rectangles. AGD and
In the figure, AEFG and ABCD are two similar rectan
AEB are straight lines. If AE: AB= 3:5, find the ratio o
of the yellow region to that of the blue region.
55
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15 BCD are two similar rectangles AGD and In the figure AEFG and ABCD are two similar rectan AEB are straight lines If AE AB 35 find the ratio o of the yellow r class=

Respuesta :

helpmewiththings49
To tackle a similarity question, you would need to find a scale factor:
which is the multiplier to shrink or grow a measurement proportionately.

Therefore, to find the grow factor;

It’s AB/AE = 5/3

So our scale factor is 5/3

To find BC or AD, we need to grow the EF measurement as it is the smaller measurement of the corresponding side. So:

EF x 5/3 = AD
2 x 5/3 = 3.33333333333
So 3.3333333 is AD or BC

So we now have to find the area of both rectangle.

Rectangle AEFG = 3 x 2 = 6
Rectangle ABCD = 5 x 3.3333 = 16.6666

Ratio of yellow to blue is
Ratio of smaller to larger which is:

6 to 16.666666

After that we need to simplify the ratio, afterwards, we will get:

9 to 25

Hence the answer is
9:25

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