Question

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).

Answer 1

220 ; 240 ; 200

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

Answer 2

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

The bases are 240cm, and 200 cm

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