Question

Here are the dimensions of some rectangles. Which rectangle has an area of 12 square units and a perimeter of 14 units?

a length of 1 unit and a width of 12 units
a length of 6 units and a width of 1 unit
a length of 6 units and a width of 2 units
a length of 3 units and a width of 4 units

Answer 1

Rectangle 4 with a length of 3 units and a width of 4 units is the rectangle with an area of 12 square units and a perimeter of 14 units.

Step-by-step explanation:

To find the rectangle with an area of 12 square units and a perimeter of 14 units, we need to check the dimensions of each rectangle and calculate their area and perimeter. Let's go through each option:

1. Rectangle 1: Length = 1 unit, Width = 12 units. Area = Length x Width = 1 x 12 = 12 square units. Perimeter = 2 x (Length + Width) = 2 x (1 + 12) = 26 units.
2. Rectangle 2: Length = 6 units, Width = 1 unit. Area = Length x Width = 6 x 1 = 6 square units. Perimeter = 2 x (Length + Width) = 2 x (6 + 1) = 14 units.
3. Rectangle 3: Length = 6 units, Width = 2 units. Area = Length x Width = 6 x 2 = 12 square units. Perimeter = 2 x (Length + Width) = 2 x (6 + 2) = 16 units.
4. Rectangle 4: Length = 3 units, Width = 4 units. Area = Length x Width = 3 x 4 = 12 square units. Perimeter = 2 x (Length + Width) = 2 x (3 + 4) = 14 units.

Therefore, the rectangle with an area of 12 square units and a perimeter of 14 units is Rectangle 4, which has a length of 3 units and a width of 4 units.