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 th

Question

2 years ago

5

e length of the other base

1 answer:

Orlov [11] · Answer 1 · 2022-12-17T20:53:41+03:00

Orlov [11]2 years ago

8 0

Answer: 7 yards

Step-by-step 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

$A=\dfrac{a+b}{2}\times h$

Putting values

$\Rightarrow 46=\dfrac{16+b}{2}\times 4\\\\\Rightarrow 23=16+b\\\Rightarrow b=7\ yards$

The length of other base is 7 yards