Question

The perimeter of a rectangular field is 194m. Three times the width of the garden is 5 meters more than its length. Which system of equations could be used to find the length (L) and the width (W) of the field?

Answer 1

Explanation:

so we know 3w = L + 5

and then we know that 2w + 2L = 194

so those are our two equations

since we have L by itself in the first equation, we are going to move the 5

L = 3w - 5

so now we can plug that in as L in the second equation

2w + 2(3w - 5) = 194

so now we distribute that 2

2w + 6w - 10 = 194

then simplify

8w - 10 = 194

then add the 10 to the other side

8w = 204

then we divide the 8

we get w = 25.5

so now we take that and go all the way back and plug that into the othr equation (ik this is a lot)

L = 3w - 5

so we plug in what we got for w

L = 3(25.5) -5

then multiply

L = 76.5 - 5

L = 71.5

so we end up with

w = 25.5 and L = 71.5

have a great day!! <3