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Use the given area to find XY. A. 8 cm B. 12 cm C. 16 cm D. 24 cm

Use the given area to find XY. A. 8 cm B. 12 cm C. 16 cm D. 24 cm-example-1
User Pranav P
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6.6k points

2 Answers

7 votes

The answer is XY=2*DE=2*4=8cm, in summary, eight cenimeters.

User Chanan
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1 vote

Answer:

A

Explanation:

Since the triangles are similar then the ratio of corresponding sides = a : b

and ratio of areas = a² : b²

Here the ratio of areas = 7 : 28 = 1 : 4, hence

ratio of sides =
√(1) :
√(4) = 1 : 2

Hence

XY = 2 × DE = 2 × 4 = 8 cm

User Giovanni Le Grand
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6.3k points