Question

do now: samantha makes the abstract painting shown using vertical and horizontal lines and four colors. a. how can you use mathematics to describe the areas of rectangle 1 and rectangle 2? b. how can you use mathematics to describe the area of rectangle 3?

Explanation:

Step1: Recall area formula

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: For Rectangle 1 and 2

If we know the lengths and widths of Rectangle 1 and Rectangle 2 (say length of Rectangle 1 is $l_1$ and width is $w_1$, length of Rectangle 2 is $l_2$ and width is $w_2$), we can use the formula $A_1=l_1\times w_1$ and $A_2 = l_2\times w_2$ to describe their areas.

Step3: For Rectangle 3

Similarly, if the length of Rectangle 3 is $l_3$ and width is $w_3$, its area $A_3=l_3\times w_3$.

Answer:

A. Use the formula $A = l\times w$ where $l$ and $w$ are the length and width of the rectangles respectively for Rectangle 1 and Rectangle 2.
B. Use the formula $A = l\times w$ where $l$ and $w$ are the length and width of Rectangle 3.