If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y?
A) $x + y$
B) $\sqrt { x + y }$
C) $x ^ { 2 } + y ^ { 2 }$
D) $\sqrt { x ^ { 2 } + y ^ { 2 } }$

Question

If a rectangle is x feet long and y feet wide, which one of the following expressions is the length of its diagonal in terms of x and y? 
A) $x + y$
B) $\sqrt { x + y }$
C) $x ^ { 2 } + y ^ { 2 }$
D) $\sqrt { x ^ { 2 } + y ^ { 2 } }$

Quizplus · Accepted Answer

The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal acts as the hypotenuse, and the sides of the rectangle are the other two sides. Therefore, the length of the diagonal is $\sqrt{x^2 + y^2}$.

If a Rectangle Is X Feet Long and Y Feet x+yx + yx+y

If a Rectangle Is X Feet Long and Y Feet $x + y$