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

(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

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

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form