Plz me i dont get this question plz me asap

The area is the product of the length and width (6 * 9). It is also the sum of the areas of the rectangles separated by the dotted line (6 * 5 and 6 * 4). So, 6(9) = 6(5) + 6(4).

Step-by-step explanation:

Parentheses also mean multiplication in math.

6(9) can be written as 6 * 9, 6(5) can be written as 6 * 5, and 6(4) can be written as 6 * 4.

All the explanation is saying is that the length times width equals the area. The length and width is 6 and 9. The area of the full rectangle is also found by finding the areas of the two separated rectangles in the full rectangle. The lengths and widths of the two separated rectangles are 6 and 5, and 6 and 4. Remember, length times width gets you the area. If you find the area of both of the separated rectangles and add them up, you discover that your answer is equivalent to the area of the full rectangle.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.