Achildcare center has three playground areas: one square 32 feet on each side, one circular with a 30 feet diameter and one rectangular 30 feet wide and 45 feet long. to decrease injuries from falls, they want to spread recycled rubberized mulch to a depth of 6 inches. the mulch is $12.50 per cubic yard plus $25.00 delivery charge. how much will they pay for the mulch?

The answer is $738.

Step-by-step explanation:

The center has one square 32 feet on each side.

One circular playground with a 30 feet diameter.

One rectangular playground 30 feet wide and 45 feet long.

The center people are putting the mulch to a depth of 6 inches or 0.5 feet.

We have to find the volumes of all grounds:

The volume of the square playground is ft³  

The volume of the circular playground is ft³  

The volume of the rectangular playground is ft³

So the total volume of rubber needed = ft³

The given price is in yards so 1 cubic yard is equal to 27 cubic feet.

So, for 3 feet per yard the volume of rubber is = yard³

Given price is $12.50 per cubic yard so, for 57.04 cubic yards, the price will be:

dollars

Adding the delivery cost of $25.  

The grand total is dollars

Hence, the answer is $738.

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