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A rectangular field is twice as long as it is wide. Its diagonal measures $205$ m.
Find the width of the field.

Class 7Pythagoras PropertyTriangles

A20
B18
C40
D22

Step-by-Step Solution

Let width =

w

, length =

2 w

. Diagona

l^{2} = w^{2} + (2 w)^{2} = 5 w^{2} = (205)^{2} = 2000

. So

w^{2} = 400, w = 20

m.

Answer: A) 20

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