What is the smallest perimeter a rectangle of area 12 cm can have? A.12 cm
B.14 cm
C.16 em
D.26 cm
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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

hope it helps

14 cm

Step-by-step explanation:

The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm².  So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0