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

Question

asked Jan 24, 2022 90.4k views

1 Answer

Joecks · Answer 1 · 2022-01-29T13:29:55+0000

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