Question

The area of a trapezoid is 46 square yards. If the height is 4 yards and the length of one of the bases is 16 yards,determine the length of the other base

Answer 1

Answer: 7 yards

Explanation:

Given

The area of the trapezoid is
`46\ yards^2`

The height of the trapezoid is
`h=4\ yards`

One of the bases is
`a=16\ yards`

Suppose another base is b

The area of the trapezoid is

`A=(a+b)/(2)* h`

Putting values

`\Rightarrow 46=(16+b)/(2)* 4\\\\\Rightarrow 23=16+b\\\Rightarrow b=7\ yards`

The length of other base is 7 yards