Question

Write and solve a linear system.


You are painting the white lines around the perimeter of a tennis court. You measure and find that the perimeter is 228 feet and the length is 42 feet longer than the width.

A: Write a linear system let W be the width and let L be the length of the tennis court.

B: Graph the system

Answer 1

please explain in simple terms!

Answer 2

Did i not help well..? Sorry

Answer 3

so the formula of finding the perimeter is \(2L+2W\) correct?

Answer 4

correct...

Answer 5

so you have the perimeter is 228

so

\(2L+2W=228\)

that is your first equation

Answer 6

ok

Answer 7

now they say that the length is 42 ft longer than the width

so \(L=42+W\)

Answer 8

but how do you make the two work together?

Answer 9

\(2L+2W=228\\L=42+W\)

instead of L in the first equation, you can put 42 + W

so \(2L=2(42+W)\\2(42+W)+2W=228\)

Answer 10

oh! then you distribute and get
\[84 + 2w + 2w = 228\]
right?

Answer 11

right and 2W + 2W = 4W

so 84 + 4W = 228

but we don't need to solve like this because your question says to graph it instead

Answer 12

so go to http://desmos.com/calculator

and put 2x + 2y = 228 and x = 42 + y

Answer 13

is it supposed to intersect at (78,36)?

Answer 14

ye

Answer 15

so what does that mean? I don't get it. (78,36) represents what?

Answer 16

length = 78
width = 36