Option C - 12.4 feet is the correct answer.
Step-by-step explanation:
Step 1 :
Given,
The rectangle's width = 4 feet
The rectangle's diagonal = 13 feet
Let x be the rectangle's length
We need to find which measurements is closest to the length of this rectangle in feet from the given options
Step 2:
From Pythagoras theorem, we know that if we square the sides of right angle triangle and sum it, this will be equal to the square of the longest side.
Using this we have
4² + x² = 13²
=> x² = 13² - 4² = 169 -16 = 153
=> x = √153 = 12.36 feet
Step 3:
Answer :
Hence the rectangle's length is 12.37 feet
This is closest to option C 12.4 feet.
