The parallelogram on the grid is bisected by line segment PR. What is the AREA of Parallelogram OPQR and of Triangle OPR? (2 points) Responses
To find the area of the parallelogram OPQR, we can find the area of one of the triangles (OPR) and then multiply it by 2 since the parallelogram is bisected by PR.
First, let's find the area of triangle OPR:
- The base of triangle OPR is 4 units (from O to R).
- The height of triangle OPR is 3 units (from O to the line PR).
- The area of triangle OPR is (1/2) * base * height = (1/2) * 4 * 3 = 6 square units.
Now, since the parallelogram is bisected by PR, both triangles OPR and QRP will have the same area. Therefore, the total area of parallelogram OPQR is:
2 * (area of triangle OPR) = 2 * 6 = 12 square units
Therefore, the area of parallelogram OPQR is 12 square units, and the area of triangle OPR is 6 square units.