6. A rectangle has a length that measures √3 feet and a width that measures √12 feet.

a. Find the area.
b. Find the perimeter.

1 answer

a. The area of a rectangle is calculated as length x width. Given that the length of the rectangle is √3 feet and the width is √12 feet, the area can be calculated as follows:

Area = √3 feet x √12 feet
Area = √(3*12) feet
Area = √36 feet
Area = 6 feet

Therefore, the area of the rectangle is 6 square feet.

b. The perimeter of a rectangle is calculated as 2(length + width). Given that the length of the rectangle is √3 feet and the width is √12 feet, the perimeter can be calculated as follows:

Perimeter = 2(√3 feet + √12 feet)
Perimeter = 2(√3 feet + 2√3 feet)
Perimeter = 2(3√3 feet)
Perimeter = 6√3 feet

Therefore, the perimeter of the rectangle is 6√3 feet.