The length of a rectangle is 3 feet more than the width. If the perimeter is 82 feet, what are the length

and the width?

L=22feet

w=19feet

Step-by-step explanation:

Perimeter (p) = 82

Length = (L)

Width = (w)

P=2L+2w

2L+2w=82 ... (1)

L-w=3 ... (11)

From (11) L=3+w

Substitute L=3+w in (1)

2 (3+w) + 2w=82

Clearing brackets

6+2w+2w=82

6+4w=82

Collect like terms

4w=82-6

4w=76

w=76/4

w=19

Substitute w=19 in (11)

L-19=3

Collect like terms

L=3+19

L=22