The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle? What we know: Length.

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Presentation transcript:

The length of a rectangle is 6 in. more than its width. The perimeter of the rectangle is 24 in. What is the length of the rectangle? What we know: Length is 6 in. more than width Perimeter is 24 in. Perimeter = 2l + 2w What we don’t know Width Width = w What do we want to find Length Length = 6 + w Write equation 24 = 2(w + 6) + 2w

Solve for w to find length 24 = 2(w +6) + 2w 24 = 2w w 24 = 4w = 4w = w Length = w = 9 so length of rectangle is 9 in.

The length of a rectangle is 8 in. more than its width. The perimeter of the rectangle is 24 in. What are the length and width of the rectangle. What we know Length is 8 more than width Perimeter is 24 P = 2l + 2w What we don’t know Width = w Length = 8 + w What we need to find Width = w Length = 8 + w

Write equation P = 2l + 2w 24 = 2(8 + w) + 2w 24 = w + 2w 24 = w = 4w = w Width = w Width = 2 Length = 8 + w Length = or 10

Consecutive means in a row 1, 2, 3, 4, and so on First number always n and start n = 1 What is second number start? n + 1 = 2 What is third number from start n + 2 = 3 The sum of three consecutive intergers is 147. Find the integers. Sum means add n + n n + 2 = 147

3n + 3 = n = n = 48 1 st number is n = 48 2 nd number is n + 1 = 49 3 rd number is n + 2 = 50

2, 4, 6, 8, and so on 1 st number is always n and start n = 2 What is 2 nd even number from start? n + 2 = 4 What is 3 rd number from start? n + 4 = 6 The sum of three consecutive even integers is 180. What are the integers. n + n n + 4 = 180

3n + 6 = n = n = 58 1 st is n 58 2 nd is n rd is n