Question

A. Antonia has a green rope and a blue rope. Her green rope is 4 feet in length. She cut the green rope into 2 pieces. One of the pieces is 21 inches in length.

How many inches long is the other piece of the green rope? Use words and numbers to explain your reasoning.
B. Antonia's blue rope measures 2 yards. She wants to cut the rope into MORE than 3 pieces so all the pieces of rope are equal in length with no rope left over.
What is ONE possible way that Antonia can cut the rope so that each piece of rope is less than 24 inches in length? Use words and numbers to explain your reasoning.
Type your answer in the box below. Make sure to label each part with A and B.

Answer 1

The other part is 27 in. long

Explanation:

1 ft is 12 in

2 ft are 24 in

4 ft are 48 in

48 in - 21 in = 27 in

Answer 2

Part A

Green rope = 4 ft

As 1 ft = 12 in

Then 4 ft = 4 × 12 in = 48 in

Antonia cuts the green rope into 2 pieces. One of the pieces is 21 in long. To find the length of the unknown piece, subtract the length of the known piece from the total length:

length of unknown piece = 48 - 21

= 27 in

Part B

Blue rope = 2 yd

1 yd = 36 in

Therefore, 2 yd = 2 × 36 = 72 in

Antonia wants to cut the rope into MORE than 3 pieces, and all the pieces need to be of equal length. As the length of the rope is an even number of inches, Antonia could first cut the rope in half, so she would have 2 pieces each of 36 in in length. Then she could cut both of those lengths in half, so she would have 4 pieces each of 18 in in length.