Question

15. Nathanial has a string that is 49.3 cm long. For a project, he needs to cut the string into 5 equal pieces of acertain length, but he realizes the string he has is too short by 7.45cm.a. Nathanial's classmate, Aanya, says she has 5 pieces of string that Nathanial could use. Each piece is 10.4 cm inlength. Without calculating, could Nathanial use Aanya's string for his project? Explain your reasoning.b. What is the exact length of string that Nathanial needs for his project?

Answer 1

Answer:

a) Nathaniel cannot use Aanya's string for his project as her string is short of the actual length he needs

b) The exact length Nataniel needs for his project (total) = 56.75cm

Each of the 5 strings will be 11.35cm

Step-by-step explanation:

Given:

The length of Nathaniel's string = 49.3cm

The string is sort of = 7.45cm

Aanya has 5 string = 10.4cm each

To find:

a) if Nathaniel could use Aanya's string for his project

b) The exact length of string Nathanial needs for his project

a) The total length required for Nathaniel's project = 49.3 + 7.45

The total length required for Nathaniel's project = 56.75cm

Dividing the length into 5 equal parts, each string will be 56.75/5 = 11.35 cm

The length of each string of Aanya's is 10.4cm

11.35cm > 10.4cm

This means Nathaniel cannot use Aanya's string for his project as her string is short of the actual length he needs

b) The exact length Nataniel needs for his project = 49.3 + 7.45 = 56.75cm

Each of the 5 strings will be 11.35cm