Please Help! I'm Stuck!

Question

asked Jul 25, 2021 146k views

1 Answer

Nedelka · Answer 1 · 2021-07-31T03:54:38+0000

Answer:

19

Explanation:

Assuming that
represents length and
represents width, we can make a systems of equations and solve for l and w.

2l+2w=60 , since the perimeter of a rectangle will be double the length plus double the width.

Also we can make the equation
l = 2w+3 , as stated in the last part of the question.

We can now substitute the value of
2w+3 into the equation
2l+2w=60 as l.

$2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66/6\\\\w = 11$

So we know the width is 11. Now that we know the width, we can substitute it back into the equation
l = 2w+3 to find the length.

$l=2\cdot11-3\\\\l=22-3\\\\l=19$

So the length is 19.

Hope this helped!