what is the length of the shorter base.

Question

The area of a trapezoid is 190 in.squared. if the height is 11 in. and the length base is 22 in. what is the length of the shorter base. Round to the nearest tenth.

Answer 1

Area of the trepezoid = 1/2 h(b1+b2)

Where b1,b2 are lengths of bases and h is the altitutde.

h = 11 in, b1 = 22, A = 190 in^2

190 = 11/2(22+b2)

Multiple to each side by 2/11.

(190*2)/11 = 22+b2

34.54 = 22+b2

Subtract 22 from each side.

b2 = 34.54-22

b2 = 12.54

Shorter base is 12.5inches.