Question

what is the smallest perimeter a rectangle of a area 12 centimetres square can have?

Answer 1

Answer:

• 14cm is the smallest Perimeter of rectangle

Step-by-step explanation:

Area of rectangle = 12 cm²

Factors of 12 are 1 , 2 , 3 , 4 , 6 , 12

Case 1

• If 2cm is one side of rectangle
• then, another side of rectangle is 2×3 = 6cm
• Perimeter = 2(2+6) = 2(8) = 16cm

Case 2

• If 4cm is one side of rectangle
• then, 3cm is another side of rectangle
• Perimeter = 2(4+3) = 2(7) = 14cm

Case 3

• If 1cm is one side of rectangle
• then, 12cm is another side rectangle
• Perimeter = 2(1+12) = 2(13) = 26cm

So, we can say that smallest Perimeter of rectangle of area 12cm² is 14cm

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