The sides

The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it.

Correct answer:

a =  1/4 in
b =  3/8 in

Step-by-step explanation:

p=141​=1+41​=41⋅ 4+1​=44+1​=45​=1.25 in a:b=2:3  a=2/3 b 2(a+b)=p a=2/3 b 2(a+b)=1.25  a=2/3⋅ b 2⋅ (a+b)=1.25  3a−2b=0 2a+2b=1.25  Row2−32​⋅ Row1→Row2 3a−2b=0 3.33b=1.25  b=3.333333331.25​=0.375 a=30+2b​=30+2⋅ 0.375​=0.25  a=41​=0.25 b=83​=0.375

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You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsnumbersUnits of physical quantitiesGrade of the word problem

 
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