## The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width

Question

The perimeter of a rectangle is 60. The length is 10 more than the width. find the length and width

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3 weeks 2021-09-08T10:11:25+00:00 2 Answers 0

width is 10 and length is 20

Step-by-step explanation:

## find the length and width

### perimeter of a rectangle is = 2*length + 2*width

lets give length and with a variable

length = l

width = w

hence perimeter formula is 2l +2 w

The perimeter of a rectangle is 60. The length is 10 more than the width.

l = w + 10

and

2l + 2w = 60

### finding w

we can make use of the substitution method. where l is in the second formula place w+ 10 there.

2(w + 10 )+2w = 60

2w + 20  +2w = 60

4w + 20 = 60

4w = 60-20

4w = 40

w = 10

### now we can find l

place the value of w into the first formula so we can find l

l = 10 +10

l = 20

hence this shows that the width is 10 and length is 20

Width is 10  Length is 20

Step-by-step explanation:

Perimeter = 60

Length = W + 10

P = 2L + 2W                      Write the equation for perimeter

60 = 2(W + 10) + 2W         Substitute your variables

60 = 4W + 20

– 20          – 20                Subtract 20 from both sides

40 = 4W                        Divide both sides by 4

10 = W