Question

If is costs $200,000 to build a sidewalk around a rectangular field whose dimensions are 200 yd by 800 yd, how much will it cost to build a sidewalk around a rectangular field whose dimensions are 300 yd by 900 yd? Hint: Use the ratio of the perimeters.

Answer 1

Any ideas?

Answer 2

no :( i have to show all work

Answer 3

Do you know how to calculate the perimeter of a rectangle?

Answer 4

$$\Huge P = 2l +2w$$

Answer 5

no

Answer 6

ok that makes sense

Answer 7

From the given info "... a sidewalk around a rectangular field whose dimensions are 200 yd by 800 yd," calculate the perimeter :-)

Answer 8

so what do i do next

Answer 9

how many yards did you get?

Answer 10

2,000

Answer 11

Correct, it costs $200,000 to build 2,000 yds of fence.

If is costs $200,000 to build a sidewalk around a rectangular field whose dimensions are 200 yd by 800 yd,

$200, 000/ 2,000 yd = $1,000/ yd

Answer 12

Does that^ make sense?

Answer 13

The question now asks for:

how much will it cost to build a sidewalk around a rectangular field whose dimensions are 300 yd by 900 yd?

Answer 14

yes

Answer 15

do you use the same equation

Answer 16

or do you use a proportion

Answer 17

either way :-)

Answer 18

ok!

Answer 19

so is it 1,000 over 300 = xover 900?

Answer 20

What is the perimeter of a rectangular field whose dimensions are 300 yd by 900 yd?

Answer 21

3,000?

Answer 22

P = 2*900 + 2*300

Answer 23

2,400

Answer 24

yup

Answer 25

so thats the final answer?

Answer 26

how would i show how i got the final answer?

Answer 27

now at $1000/yd how much will it cost?

Answer 28

2.4?

Answer 29

2,400 yds * $1000/yd

Answer 30

2,400,000

Answer 31

^dollars :-)

Answer 32

thanks!

Answer 33

Thanks for trying :D

Answer 34

can you put it into a equation form for me pls?

Answer 35

like to show all the work

Answer 36

write two equations showing how you calculated the the perimeters of the rectangles

Answer 37

ok thanks somuch!

Answer 38

can you help me with another problem?

Answer 39

please