You oversee the community garden. you have 3 teams who want plots in your garden, and all gardens are in the shape of a square. team a wants a plot which is 36 square meters, team b wants a plot which is 64 square meters and team c wants a plot which is 49 square meters. you need to determine the length and width of your garden. you also need to determine which team gets which plot. (remember area of a square is side times side) a. label which area each team will use (2 points) b.) calculate the dimensions of each side and show your work (6 points) team a: team b: team c: c.) what are the minimum dimensions of your garden plot? (2 points) length: width:

Step-by-step explanation:

a) From the figure you can count the units covered by the plots to determine area of specific plots.

i) In the 1st plot

Length= 6 units

width=6 units

where 1 unit= 1 meter

Size= 6*6 = 36 m²

Team A

II) In the 2nd plot

Length=8 units

Width=8 units

size=8*8=64m²

Team B

In the 3rd plot

Length=7 units

Width=7 units

Size=7*7=49m²

Team C

b)Dimensions of each sides

Plot 1

Each side is 6 units

1 unit=1m

6 units= 6m

Dimensions is 6m×6m

Plot 2

Each side is 8 units

1 unit=1m

8 units= 8m

Dimensions is 8m×8m

Plot 3

Each side is 7 units

1 unit=1m

7 units= 7m

Dimensions is 7m×7m

c) Find total area of plots

Sum of areas= 36+64+49= 149 m²

Dimensions of the garden plot as a square will be

Area=l²

149=l²

√149=l

12.21m = l

Dimension are 12.21 m by 12.21 m

or

Dimensions of the plot as a rectangle will be;

Length= 21 m

Area=( 21 × 8 ) - [ (6×2) + (7×1)]

Area= 168 -[12+7] = 168-19 = 149

But area of a rectangle is given by l×w

where length , l = 21

Find the width w= ?

w=area/length= 149/21 =7.1 m

Dimensions of the garden plot are 21 m by 7.1 m

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47