Question

bernard wants to make a quilt out of yellow and green squares of fabric. he plans out the design so that the quilt is 9 pieces long and 9 pieces wide. here is his sketch. he sews 1 yellow square followed by 2 green squares until the quilt is complete. how many green squares does he need to complete the design? green pieces

Explanation:

Step1: Calculate the total number of squares

The quilt is \(9\) pieces long and \(9\) pieces wide. So the total number of squares is \(9\times9 = 81\) squares.

Step2: Determine the number of groups

He sews \(1\) yellow square followed by \(2\) green squares. So each group has \(1 + 2=3\) squares.

Step3: Calculate the number of groups

The number of groups is \(\frac{81}{3}=27\) groups.

Step4: Find the number of green squares

Since each group has \(2\) green squares, the number of green squares is \(27\times2 = 54\)

Answer:

\(54\)