What is the area of a trapezoid which its inferior base is 10",the superior base is 4",and each of the sides has 5",have the same interior opposite angles?

Question

1583 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-29T03:35:04

#color(blue)("Area of Trapezoid " = (1/2) * (10 + 4) * 4 = 28 " sq inch"#

#bar (AB) = 4 "inch", bar(CD) = 10"inch", bar (BC) = bar(AD) = 5"inch"#

To find area of the trapezoid.

Let AE = BF be the height of the trapezoid.

#DE = CF = (CD - AB ) / 2 = (10 - 4) / 2 = 3 "inch"#

#bar (AE) = bar (BF) = sqrt((AD)^2 - (DE)^2) = sqr(5^2 - 3^2) = 4 "inch"#

#"Area of Trapezoid " = (1/2) * (AB + CD) * (AE)#

#color(blue)("Area of Trapezoid " = (1/2) * (10 + 4) * 4 = 28 " sq inch"#