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2 years ago

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

Mathematics

2 answers:

Elenna [48]2 years ago

8 0

Answer:

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

Alexxandr [17]2 years ago

5 0

Answer:

width is 10 and length is 20

Step-by-step explanation:

<h2><u>find the length and width</u></h2><h3>perimeter of a rectangle is = 2*length + 2*width</h3>

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.

<h3><u>hence this statement helps us to create 2 formulas</u></h3>

l = w + 10

and

2l + 2w = 60

<h3><u>finding w </u></h3>

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

<u></u>

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

l = 10 +10

<u></u>

hence this shows that the <u>width is 10 and length is 20 </u>

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