Question

enter the missing values in the area model to find 7(3h+9)

Answer 1

The are of a rectangle is:

$A=b\cdot h$

b= base

h= heigh

As you have in the first rectangle the base (3h) and the heigh(7), you find the area:

$A=7\cdot3h=21h$

In the second rectangle you have the area (63) and the heigh (7), you fin the base:

$\begin{gathered} A=b\cdot h \\ \\ b=\frac{A}{h} \\ b=\frac{63}{7}=9 \end{gathered}$

You get:

The total base of the rectangle is:

$b=3h+9$

Then the total area is:

$\begin{gathered} A=7\cdot(3h+9) \\ \end{gathered}$

Or the add of the two areas:

$A=21h+63$