A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance?

164 meters

Step-by-step explanation:

Data

Width = 100 m  

Length = 130 m

diagonal = ?

Process

1) To solve this problem, use the Pythagorean theorem

       c² = a² + b²

where,

c = diagonal

a = length

b = width

2) Substitution

               c² = (130)² + (100)²

3) Simplification

               c² = 16900 + 10000

               c² = 26900

4) Result

               c = 164 m

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

right

step-by-step explanation: