Question

1.Joann needs to create a rectangular garden plot covering 100 square meters (100 m2). If the width of the plot is 6.5 meters, find the length of the plot correct to the nearest tenth of a meter.

2. Which of the following bottles of shampoo is the most economical? 32 fluid ounces for $5.65 48 fluid ounces for $7.61 62 fluid ounces for $11.95

3. Brian digs two circular holes for fish ponds, one 4 meters in radius and the other is 7 meters in radius. How much greater in area is the larger fish pond? Use 3.14 as an approximation for π.

Answer 1

(1) Area = 100m², Width = 6.5m.
Length = Area/Width = 100/6.5 = 15.4m

(2) Amount of fluid received for $1 in 1st bottle = 5.66 ounces
Amount of fluid received for $1 in 2nd bottle = 6.31 ounces
Amount of fluid received for $1 in 3rd bottle = 5.19 ounces
Hence, the second bottle is most economical, since we are getting fluid ounces for $1 compared to the other bottles.

(3) Area of smaller pond = 3.14 * 4 * 4 = 50.24 sq. metres
Area of larger pond = 3.14 * 7 * 7 = 153.86 sq. metres
Difference in area = 153.86 - 50.24 = 103.62 sq. metres