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

Question

3 years ago

15

units squared?

1 answer:

GenaCL600 [577] · Answer 1 · 2022-03-23T16:58:23+03:00

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.

<h3>Therefore, length of b2 is 12.08 units.</h3>