HELP PLS 40 PTS
ALSO SIMPLE ANswer pls
Find the center of the trapezoid and the bases.
The height of the trapeze is 2 dm and the area is 440 cm^ 2 ,find the center of the trapezoid and the bases if one base is 1.2 times longer than the other.

The answer . The central section of the trapezoid is cm and bases are___ cm (longer) and ___ cm (shorter).

220 ; 240 ; 200

Step-by-step explanation:

Area = ½(sum of // sides) × height

440 = ½(sum) × 2

sum = 440

Sides

1 : 1.2

1/(1+1.2) × 440

200

1.2/(1+1.2) × 440

240

Central:

(240 + 200)/2

440/2

220

The average of the bases, or the central section is 220 cm

The bases are 240cm, and 200 cm

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)*h

440 = 1/2 (b1+b2) 2

We know the average of the bases is 1/2 (b1+b2)

440 = ave *2

Divide each side by 2

440/2 = ave *2/2

220 = average of the bases

1/2 (b1+b2) =220

b1+b2 = 440

we know one base is 1.2 times longer than the other.

b2 = 1.2b1

b1+ 1.2 b1 =440

Combine like terms

2.2 b1 = 440

Divide each side by 2.2

b1 =440/2.2

b1 =200

b2 = 1.2 b1

     =240

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3