Question

which 2 expressions can be used to find the total area of the figure? 4×8 4+2+6 4×2+6 4×2+4×6 4+2+4+6

Explanation:

Step1: Calculate the total length

The total length of the figure is \(6 + 2=8\).

Step2: Use the area formula for a rectangle

The area of a rectangle is \(A = length\times width\). Here, \(width = 4\) and \(length = 8\), so \(A=4\times8\).

Step3: Use the distributive property

We can also split the figure into two parts. One part has dimensions \(4\times6\) and the other has \(4\times2\). By the distributive property \(a\times(b + c)=a\times b+a\times c\) (where \(a = 4\), \(b = 6\), \(c = 2\)), the area is \(4\times2+4\times6\).

Answer:

\(4\times8\), \(4\times2 + 4\times6\)