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a piece of land is to be fenced and subdivided as shown so that each re…

Question

a piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. express the total amount of fencing needed as an algebraic expression in x. the total amount of fencing is □.

Explanation:

Step1: Count horizontal lengths

There are 3 lengths of $x$, so total horizontal is $3x$.

Step2: Count vertical lengths

There are 2 lengths of $4 + 3x$, so total vertical is $2(4 + 3x)=8 + 6x$.

Step3: Sum lengths

Total fencing is $3x+(8 + 6x)=9x + 8$.

Answer:

$9x + 8$