Please help with this math problem This figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer. Do not round any side lengths. Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are (-6, -1), (2, 1), (2, 7), (3, 3), (3,-3) and (-5,5).
Accepted Solution
A:
First, draw a line connecting (3, -3) and (2,1), to enclose the rectangle. Find the dimensions of this rectangle and then calculate the area. Length of rectangle: sqrt(64+4) = sqrt(68) = sqrt(17)sqrt(4) Width of rectangle: sqrt(16+1) = sqrt(17) Area of rectangle: sqrt(17)sqrt(4)sqrt(17) = 17(2) = 34
Width of parallelogram: 1 Length of parallelogram: 6 Area of parallelogram: 6
Total area of figure: 34 + 6 = 40 square units (answer)