Question

What is the area of this rectangle?

A rectangle with the length labeled 3 and two-sixths meters and the width labeled 2 and three-fourths meters.

five and five-twelfths m2
six and six twenty-fourths m2
six and five-tenths m2
nine and four twenty-fourths m2

Answer 1

The area of the rectangle is:

length x width

We need to first convert the length and width to the same units. We can convert them to twelfths of a meter, since both 6 and 4 are factors of 12.

Length = 3 and 2/6 meters = 3 x 12/6 + 2/6 = 18/6 + 2/6 = 20/6 = 10/3 twelfths of a meter

Width = 2 and 3/4 meters = 2 x 12/4 + 3/4 = 24/4 + 3/4 = 27/4 twelfths of a meter

Now we can find the area:

Area = length x width = (10/3) x (27/4) = 90/12 = 15/2 = 7.5 square meters

Therefore, the answer is option C) six and five-tenths m² (rounded to one decimal place).