If the trend continued, in how many years would the median home value be $170,000? Show how obtained your answer using the linear equation you found in part c)

Question

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet.
Set up an equation for the perimeter involving only L, the length of the rectangle.
Solve this linear equation algebraically to find the length of the rectangle. Find the width as well.
Length___,width____
Using the same width from your answer or part b), find a new perimeter when the new length is five less than three times the width.
Explain the work in one or two sentences.

Answer 1

b. Length = L Ft.
Width = (L-3) Ft.
P = 2L + 2(L-3).

P = 2L + 2L - 6 = 86.
4L = 86 + 6 = 92
L = 23 Ft.
W = L - 3 = 32 - 3 = 29 Ft.

c. Width = 29 Ft.
Length = (3W-5) = (3*29 - 5 = 82 Ft.

P = 2L + 2W = 2*82 + 2*29 = 222 Ft.

Answer 2

b. Correction: W = L-3 = 23 - 3 = 20 Ft.

c. Width = 20 Ft.
Length = (3W-5) = 3*20 - 5 = 55 Ft.

P = 2L + 2W = 2*55 + 2*20 = 150 Ft.