Given:
Two identical parallelograms total area = 9 1/3 yd²
Each parallelogram has height 1 1/3 yd
Area formula: area = base × height
Split the total area equally to find each parallelogram's area.
Convert 9 1/3: (9*3)+1 = 28/3
Divide by 2: 28/3 × 1/2 = 28/6 yd², which is 4 4/6 yd² → 4 2/3 yd²
So each parallelogram's area is 4 2/3 yd²
Set up base × 1 1/3 yd = 4 2/3 yd²
Convert and divide: 14/3 yd² ÷ 4/3 yd = base
Multiply: 14/3 × 3/4 = base
Compute: 14*3 / 3*4 = base
42 / 12 = base
Which simplifies to 3 6/12 yd = base
or 3 1/2 yd = base
a) Each parallelogram has a base of 3 1/2 yards
b) If the two parallelograms form a rectangle:
Rectangle area = length × width
Length = 3 1/2 yd × 2 = 7 yds
Width = 3 1/2 yds
Area = 7 yd × 3 1/2 yd
Area = 7 × 7/2 yd²
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²
