Question

If the area is 14.3yd, what is b?1?

Answer 1

Given:

The figure of a trapezoid.

Area of the trapezoid = 14.3 square yd.

To find:

The value of first base, i.e.,
`b_1`.

Solution:

From the given figure, it is clear that

Vertical height = 2.6 yd

Second base = 7.9 yd

The area of a trapezoid is:

`A=(1)/(2)(b_1+b_2)h`

Putting
`b_2=7.9,\ h=2.6,\ A=14.3` in the above formula, we get

`14.3=(1)/(2)(b_1+7.9)(2.6)`

`2* 14.3=(b_1+7.9)(2.6)`

`28.6=2.6b_1+20.54`

Isolate the variable term.

`28.6-20.54=2.6b_1`

`8.06=2.6b_1`

`(8.06)/(2.6)=b_1`

`3.1=b_1`

Therefore, the value of
`b_1` is equal to 3.1 yd.