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(05.02)mr. morris is going to save money and replace his sailboat's mainsail himself. he must determine the area of the mainsail in order to buy the correct amount of material. calculate the area of the parallelogram to determine how much material should be purchased. be sure to explain how to decompose this shape into rectangles and triangles. describe their dimensions and show your work.

Area: 168

Step-by-step explanation:

Area equals base times height. B= 14 and H= 12 so 14 × 12= 168

168 ft

Step-by-step explanation:

First find the area of the first triangle.

A = 1/2 bh

1/2 12*3

1/2 36

A = 18

There is another triangle on the other side but the dotted lines are not visible. So this triangle will have the same lengths as the first triangle.

A = 1/2 bh

1/2 12*3

1/2 36

A = 18

Now solve the area for the rectangle

The base of the rectangle will be 11 instead of 14 because you subtract 3 because the 3 was the base of the triangle.

So A = bh

12*11= 132

Now add all the ares together

132 + 18 + 18 = 168

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.