abbycouch74
contestada

the length of a rectangle is 3 more than 4 times it's width. the perimeter of the rectangle is 86 inches. what is the length of the rectangle?

Respuesta :

apologiabiology
perimiter=2(L+W)
L is 3 more than 4 times W
L=3+4W
P=86

sub

86=2(L+W)
L=3+4W
86=2(3+4W+W)
86=2(3+5W)
divide both sides by 2
43=3+5W
minus 3 both sides
40=5W
divide boht sides by 5
8=W

sub back


L=3+4W
L=3+4(8)
L=3+32
L=35

legnth=35 inches

The length of the rectangle will be 35 inches.

Based on the information given, the length will be:

L = 4W + 3

Perimeter = 86

The perimeter of a rectangle will be:

P = 2(L + W).

86 = 2(3 + 4W + W)

86 = 6 + 10W

10W = 80

W = 80/10

W = 8

Length will now be:

= 4w + 3

= 4(8) + 3

= 32 + 3 = 35

Learn more about perimeter on:

https://brainly.com/question/16596982

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