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 fences

There are 2 horizontal lengths of length \(x + x+x = 3x\). So total horizontal length is \(2\times3x=6x\).

Step2: Count vertical fences

There are 4 vertical lengths of length \(y\). So total vertical length is \(4y\).

Step3: Find total fencing

Total fencing is sum of horizontal and vertical lengths: \(6x + 4y\).

Answer:

\(6x + 4y\)