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Eva8 [605]
3 years ago
8

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

Mathematics
2 answers:
soldier1979 [14.2K]3 years ago
7 0

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

ZY=BC+XC

5=BC+3

2=BC

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

\frac{4}{XY}=\frac{2}{5}

\frac{4\times 5}{2}=XY

10=XY

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

ZY=BC-XC

5=BC-3

8=BC

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

\frac{4}{XY}=\frac{8}{5}

\frac{4\times 5}{8}=XY

2.5=XY

Therefore the value of XY is 2.5.

Semenov [28]3 years ago
4 0

Answer:

The answer is 2 1/2   I just did the assignment and that was the answer.

Step-by-step explanation:

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