Michael is finding the area of parallelogram ABCD. To do this, he follows the steps in the table. Step 1

Draw a rectangle around parallelogram ABCD.
Step 2
Find the area of the rectangle.

Step 3 Find the area of the four right triangles created in the corners of the rectangle.
Step 4
Subtract the area of the right triangles from the area of the rectangle.

To solve the problem using these steps, what are the dimensions of the rectangle he should draw?

On a coordinate plane, parallelogram A B C D has points (1, negative 1), (3, 2), (1, 3), and (negative 1, 0).

2 units by 4 units
3 units by 2 units
4 units by 4 units
5 units by 6 units

Nick has box brads. he uses 4 brads for the first project. nick let’s b represent the original number of brads and finds that for the second project, the number of brads he uses is 8 more than half the difference of b and 4. write an expression to represent the number of brads he uses for the second project.

Vinay constructed this spinner based on the population of teachers at his school according to vinays model what is the probability that he will have a male history teacher two years in a row

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.