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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?

 
 Sep 14, 2021
 #1
avatar+67 
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Alright.

 

Let's start

 

So we know a rectangle has 2 long sides and 2 squishy short sides(width and length)

 

So we start with one "set" of width and length, which is 

the perimiter divided by 2

 

24/2 = 12

 

now the length is 3* the width

 

so 3 lengths and 1 width in the set, with each "set" having 4 "units"

 

so 12/4 = 3

 

3*3 units = 9 for longside, and 3 for short side

 

3*9 = 27 units of area

 
 Sep 14, 2021
 #2
avatar+34376 
+1

2 L + 2W = 24     L = 1/3 W

 

2 (1/3 W) + 2W = 24

W = 9 cm    Then  L = 3 cm

 

Area = L * W = 27 cm2

 
 Sep 14, 2021

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