You want to enclose a rectangular region with an area of 1200 square feet and a length of 40 feet, 50 feet, or 60 feet. Find the perimeter for each possible region.

Question

40 feet perimeter: ft

50 feet perimeter: ft

60 feet perimeter: ft

Question 2: Explain why you might rewrite the area formula to find the solutions.

Answer 1

Area = Width times Length

A =WL

A/L=W

Perimeter = twice the sum of Width & Length

P = 2(W+L)

For Length = 40

1200/40 = 30

2(40+30) =2(70) = 140 feet perimeter

For Length = 50

1200/50= 24

2(50+24) = 2(74) =148 feet perimeter

For Length = 60

1200/60= 20

2(60+20) =2(80) = 160 feet perimeter