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Len [333]
2 years ago
5

The perimeter of a rectangular playing field is 280 feet. The length of the field is 20 feet more than the width. What are the d

imensions of the playing field? (You need to find the length and the width.)
Mathematics
2 answers:
Nataly_w [17]2 years ago
6 0

Answer:

L =80

w=60

Step-by-step explanation:

P =280

L =w +20

=>L +w=280 :2 =140

w+20+w=140

2w=140 - 20

2w =120

w=120 :2 =60

L=60 +20 =80

P =2L +2w

P =2 ×80 +2 ×60

P=160 +120

P=280

Natali5045456 [20]2 years ago
5 0

Answer:

L = 80    ,   w=60

Step-by-step explanation:

l= w+20

perimeter: l+w+l+w=280

Plug in the value of L in place of L

(w+20)+w+(w+20)+w=280

Combine Like terms

and then separate the variables and knowns by subracting 40 from both sides

4w+40=280

     -40   -40

Divide by 4 from both sides so (W) would be alone

4w=240

÷4     ÷4

You solved half the question now

               w = 60

Remember the L at the top

we now know the value of W

so

L=(60)+20

L=80

<u>just to be sure </u>

80+80+60+60=280

you are welcome

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