Question

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

Answer 1

width is 10 and length is 20

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.

hence this statement helps us to create 2 formulas

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

Answer 2

Width is 10 Length is 20

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