Question

9. The formula for the area of a trapezoid is A = {h(b2 + b2). Express bị in terms ofA, h and bz. The area of a trapezoid is 60 square feet, its height is 6 ft, and one base is 12ft. Find the number of feet in the other base.

Answer 1

9.The area of a trapezoid is given as;

A={1/2h{b2 +b2}} where b2 and b2 are the lengths of the sides and h is the height

To express b2 in terms of A ,h, and b2 will be to make b2 the subject of the formular of trapezoid area.This will be

A={1/2h{b2 +b2}} ------ collect like terms and add

A={1/2h{2b2}} --------cancel the 2 in the 1/2 and that in brackets to get

A={h{b2}}

Divide both sides by h to remain with b2 on the right-hand side as

A/h = b2

So the expression will be :

b2 = A/h ---------answer