What is the area of the figure?
what is the area of the figure?

Shoelace formula: you take the x-coordinates of all of the points and write them down, vertically, in order (clockwise or counter) until you write the first number twice. You do the same with the y-coordinates, next to the first list. Then, you multiply the x-coordinate to the y-coordinate that is one down, which makes a shoelace-like formation. Finally, you add all of the numbers on the left and right, find the difference, then divide the absolute value of that by 2.

#1

-1   4

2   2

2  -2

-2 -4

-5 -2

-5  2

-1   5

Left products: 8, 4, 4, 20, 10, -2

Right products: -2, -4, -8, 4, -10, -25

Sums: 44, -45

AV of Difference: 89

Area = 44.5 units²

#2

-1   2

1    5

3   2

3   -1

-5 -3

-5   2

-3   5

Left products: 2, 15, 6, 5, 15, -6

Right products: -5, 2, -3, -9, -10, -25

Sums: 37, -50

AV of difference: 87

Area = 43.5 units²

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

51-50

step-by-step explanation: