The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurements is closest to the length of this rectangle in feet

A) 9ft

B) 17ft

C) 12.4ft

D) 13.6ft

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.