A school playground is in the shape of a rectangle 400 feet long and 200 feet wide. If fencing costs $20 per yard, what will it cost to place fencing around the playground? * i know the answer is $8000 I don't know what the steps were to get there

8000 dollars for 400 yds

Step-by-step explanation:

We need to find the perimeter

P = 2 (l+w) where l is the length and w is the width

P = 2 (400+200)

P = 2 (600)

P = 1200 ft

Change from feet to yards

3 ft = 1 yd

P = 1200 ft * 1 yd / 3ft = 400 yd

Now each yd is 20 dollars so multiply by 20

400 * 20 = 8000 dollars

(see below)

Step-by-step explanation:

given that the playground is in the shape of a rectangle where

Length = 400 ft and Width = 200 ft

Perimeter = Length + Length + Width + Width

= 400 + 400 + 200 + 200

= 1200 feet long

We also know that 1 ft = (1/3) yard

hence 1200 feet = 1200 x (1/3) = 400 yards

We are given that fencing cost $20 for each yard.

Hence for 400 yards, the total fencing cost will be

= $20 per yard x 400 yards

= 20 x 400

= $8000