SOLUTION: the length of a rectangle is 1 cm more than 4 times the width. the perimeter is 42 cm. find the length and width let______=width ______=length equation: solve:

Algebra ->  Rectangles -> SOLUTION: the length of a rectangle is 1 cm more than 4 times the width. the perimeter is 42 cm. find the length and width let______=width ______=length equation: solve:      Log On


   

Question 354690: the length of a rectangle is 1 cm more than 4 times the width. the perimeter is 42 cm. find the length and width
let______=width
______=length
equation:
solve:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi.
Let x be the width. then (4x +1) is the length.
.
Perimeter = 2*l + 2/w for a rectangle
.
question states***
2x * 2(4x+1) = 42cm
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simplify and solve
2x + 8x + 2 = 42cm
.
10x = 40cm
.
x = 4cm (this is the width)
.
length = 17cm (4*4cm + 1)
.
check your answer
8cm + 34cm = 42cm