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The length of a rectangle is half the width. The area is 25 square meters. Find the perimeter.

1 Answer

5 votes

Explanation:

l = length

w = width

l = w/2

l×w = 25 m²

w/2 × w = 25

w²/2 = 25

w² = 50

w = sqrt(50) = sqrt(25×2) = 5×sqrt(2)

l = w/2 = sqrt(50)/2 = sqrt(50/2)/ sqrt(2) = sqrt(25)/sqrt(2) =

= 5/sqrt(2)

perimeter = 2×l + 2×w = 2×5×sqrt(2) + 2×5/sqrt(2) =

= 10×sqrt(2) + 10/sqrt(2)

User Joachim Wagner
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