How many square feet of outdoor carpet will we need for this hole?

42 ft squared

Step-by-step explanation:

First you must find the sides and heights of each of the shapes, for instance, the trapezoid, the rectangle, and the triangle. After you find the sides and height you would solve for the area using the three area formulas for each shape. Then once you have the three individual areas you would just add each answer together and get 42.

Formulas:

Trapezoid = 1/2(b1 + b2)h

Rectangle = b x h

Triangle = 1/2bh

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints