Tomás found the area of a rectangle to be 1/6 square inch. Which could be the sidelengths of the rectangle?

A) 1/4 inch and 2/3 inch
B) 1/3 inch and 1/3 inch
C) 1/6 inch and 1/6 inch
D) 1/2 inch and 1/12 inch

Respuesta :

Answer: Choice A

Explanation:

area  = length*width

area = (1/4)*(2/3)

area = (1*2)/(4*3)

area = 2/12

area = 1/6 of a square inch

This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.

Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.

Choice C leads to 1/36 and choice D leads to 1/24.