What is the area of the trapezoid shown? trapezoid A = _ units²

74.1 units²

Step-by-step explanation:

Area of the trapezoid shown = ½×(AD + BC)×BE

Use distance formula, to find AD, BC, and BE.

✍️Distance between A(-9, 4) and D(9, 1):

(nearest tenth)

✍️Distance between B(-4, -3) and C(2, -4):

(nearest tenth)

✍️Distance between B(-4, -3) and E(-3, 3):

(nearest tenth)

✔️Area of the trapezoid:

Area = ½×(AD + BC)×BE

Plug in the values into the formula

Area = ½×(18.2 + 6.1)×6.1

Area = ½×(24.3)×6.1

Area = 74.115 ≈ 74.1 units² (nearest tenth)

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: