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Given the length of the rectangle is 1/3 times the width. The perimeter is 24cm. What is the area of the rectangle?

 Mar 8, 2021
 #1
avatar+31195 
+1

l  = 1/3 w

 

perimeter  =   1/3 w   + 1/3 w  + w + w = 24

                        2 2/3 w = 24

                              w = 9     then   l = 3         area = l * w =   27 cm2

 Mar 8, 2021
 #2
avatar+498 
-1

\(2(w + \frac{w}{3}) = 24\)

\(\frac{4w}{3} = 12 \)

\(4w = 36 \)

\(w = 9\)

 

Area = \(9 \cdot \frac{1}{3} (9) = 9 \cdot 3 = 27\)

Area = 27 cm2

 Mar 8, 2021

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