Question

q. youre repairing a large rectangular aquarium. the final step is to cover the glass with a protective film. the front and back of the aquarium measure 4 meters by 2 meters, and the sides of the aquarium measure 3 meters by 2 meters. how many square meters of protective film do you need? a. 22 square meters b. 28 square meters c. 32 square meters d. 14 square meters

Explanation:

Step1: Calculate area of front - back

The front and back of the aquarium have dimensions 4 meters by 2 meters. The area of a rectangle is $A = l\times w$. For each of the front and back, $A_{1}=4\times2 = 8$ square meters. The combined area of the front and back is $2\times A_{1}=2\times8 = 16$ square meters.

Step2: Calculate area of sides

The sides of the aquarium have dimensions 3 meters by 2 meters. The area of each side is $A_{2}=3\times2=6$ square meters. Since there are 2 sides, the combined area of the sides is $2\times A_{2}=2\times6 = 12$ square meters.

Step3: Calculate total area

The total area to be covered with protective film is the sum of the area of the front - back and the sides. $A_{total}=16 + 12=28$ square meters.

Answer:

B. 28 square meters