Question

HELPPPPPPPPPPPP This figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer in the box. Do not round any side lengths. units² Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are negative 10 comma 2, negative 7 comma 3, negative 1 comma 3, 1 comma negative 3, negative 2 comma negative 4, and negative 4 comma 2.

Answer 1

Area = 26 sq units

Explanation:

If you put the points on a graph then you can see what you are working with. The parallelogram you can just count the squares to find the base and height. base = 6 and height = 1.

A = b • h = 6•1 = 6

To find the lengths of the sides for the rectangle you must use distance formula or pythagorean theorem. I have shown this using Pythagorean theorem. The short side of the rectangle is marked x and calculated to have length sqroot10. See image.

The graph shows the length is twice as long. But I showed a separate calculation also using pythag.thm. to find the length of y, the long side is sqroot40.

Area of rectangle is:

A = b•h OR L×W

A=sqrt10×sqrt40

=20 See image.

Add the areas to get your final answer.