The width of the rectangular hall is 8 m less than its length. What is the area of the hall if its perimeter is 64 m?

1. Let’s designate the length of this hall by the letter X. Then its width will be equal to (X – 8). Since the perimeter of this rectangular hall is 64 meters, we have the right to write the following equation:

2 x X + 2 x (X – 8) = 64;

2 x X + 2 x X – 16 = 64;

4 x X = 80;

X = 20 (m).

2. Now we can calculate the width of this hall:

20 – 8 = 12 (m).

3. Knowing the length and width, you can easily calculate the area of this rectangular hall by multiplying one by the other:

20 x 12 = 240 (m²).

Answer: The area of this rectangular hall is 240 m².