What is the area of the given trapezoid abcd?
a. 28 in2 b. 56 in2 c. 110 in2 d. 112 in2

 The correct option is (B) 56 in².

Step-by-step explanation:  We are given to find the area of the trapezoid ABCD shown in the figure.

We know that

AREA of a trapezoid with length of the parallel sides a units, b units and height h units is given by

For the given trapezoid ABCD, we have

a = AB = 6 in,  b = CD = 22 in   and    height, h = 4 in.

Therefore, the AREA of trapezoid ABCD is given by

Thus, the required area of the trapezoid ABCD is 56 in².

Option (B) is CORRECT.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet