Question

Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters long, 1.2 meters wide, and has a diagonal length of 1.3 meters. Which is true regarding the art piece?

Answer 1

Question:

Jackie plans to place a rectangular piece of art inside a rectangular frame. She considers a piece of art that is 0.5 meters long, 1.2 meters wide, and has a diagonal length of 1.3 meters. Which is true regarding the art piece?

The art is rectangular because $(0.5)^2+(1.2)^2 = (1.3)^2$

The art is rectangular because $(0.5)^2-(1.2)^2 < (1.3)^2$

The art is not rectangular because $(0.5)^2+(1.2)^2 \neq (1.3)^2$

Answer:

The art is rectangular because $(0.5)^2+(1.2)^2 = (1.3)^2$

Step-by-step explanation:

Given:

Length =  0.5 meters

Width =  1.2 meters

Diagonal =  1.3 meters

Solution:

In an rectangle the sum of square of its side is equal to the square of its diagonal

$\sqrt{(0.5)^2 +(1.2)^2} = 1.3$

$\sqrt{(0.25)+(1.44)} = 1.3$

$\sqrt{1.69} = 1.3$

1.3 =1.3

Thus they are equal.

Answer 2

Answer: The art is rectangular because (.5)2 +(1.2)2 = (1.3)2

Step-by-step explanation: