Question

1. draw and label the coordinates of a rectangle on the coordinate plane that has an area of 20 square units.

Explanation:

Step1: Pick length & width (area=20)

Choose length $l=5$, width $w=4$ (since $5 \times 4 = 20$)

Step2: Assign corner coordinates

Start at $(0,0)$. The four vertices are:
$(0,0)$, $(5,0)$, $(5,4)$, $(0,4)$

Step3: Plot and connect points

Draw lines between the coordinates on the grid, labeling each vertex.

Answer:

A rectangle with vertices at $\boldsymbol{(0,0)}$, $\boldsymbol{(5,0)}$, $\boldsymbol{(5,4)}$, and $\boldsymbol{(0,4)}$ (drawn and labeled on the coordinate plane, with area $5 \times 4 = 20$ square units).
(Note: Other valid pairs like $l=10, w=2$ with coordinates such as $(1,1)$, $(11,1)$, $(11,3)$, $(1,3)$ are also acceptable, as long as the product of side lengths equals 20.)