Question

Given isosceles trapezoid TRHY, in units what is the length of b2 if the height is 13 units, b1 is 21 units, and the area is 215 units squared?

Answer 1

We are given a trapezoid TRHY.

Height of the trapezoid = 13 units.

b1 = 21 units and

Area = 215 units squares.

We need to find the length of b2.

We know formula for area of a trapezoid.

$A= \frac{1}{2} (b1+b2)\times h$

Plugging values in formula.

215 = $\frac{1}{2}$(21+b2)× 13.

215 = 6.5(21+b2)

Dividing both sides by 6.5, we get

$\frac{215}{6.5}=\frac{6.5(21+b2)}{6.5}$

33.08 = 21+b2.

Subtracting 21 from both sides, we get

33.08-21 = 21-21+b2

b2 = 12.08.

Therefore,  length of b2 is 12.08 units.