5. What is the area of a trapezoid with the following measurements? Base 1=15
cm, Base 2 =22 cm, Height =7 cm. (Show all of your work)

129.5 cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = h(a + b)

where h is the height and a, b the parallel bases

Here h = 7, a = 15 and b = 22 , thus

A = × 7 × (15 + 22)

   = 0.5 × 7 × 37

   = 129.5

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

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