The length of a new rectangular playing field 4 yards longer than double the width. If the perimeter of the rectangular playing field is 344 yards, what are it’s dimensions?

Question

asked May 24, 2021 186k views

1 Answer

MFave · Answer 1 · 2021-05-29T13:29:53+0000

Answer:

Hi There!

Your answer is:

Length = 116

Width = 56

Explanation:

L= 4+ 2w

Width=w

perimeter formula

l+l+w+w= perimeter

Subsitute L for 4+2w

(4+2w)+(4+2w) + (w) + (w) = 344

8 +4w+w+w = 344

8+ 6w = 344

-8

6w = 336

/6

w= 56

PLUG BACK IN!

Length = 4+ 2w

Length = 4+ 2(56)

Length = 116

Width = 56

CHECK YOUR WORK

116+116+56+56= 344???

344 = 344 YES

HOPE THIS HELPS