The best estimate for the diagonal of the rectangle is 3 ⇒ B
Step-by-step explanation:
In a rectangle:
- The length and the width are perpendicular
- The length of its diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}}[/tex] (the diagonal is the hypotenuse of a right triangle whose legs are the length and the width of the rectangle)
∵ The width of a rectangle = x
∵ The length of the rectangle = 2x
∵ The diagonal = [tex]\sqrt{(length)^{2}+(width)^{2}}[/tex]
- Substitute the length by 2x and the width by x
∴ The diagonal = [tex]\sqrt{(2x)^{2}+(x)^{2}}[/tex]
∴ The diagonal = [tex]\sqrt{4x^{2}+x^{2}}[/tex]
∴ The diagonal = [tex]\sqrt{5x^{2}}[/tex]
∵ x = 1.33
- Substitute the value of x by 1.33 to find the diagonal
∴ The diagonal = [tex]\sqrt{5(1.33)^{2}}[/tex]
∴ The diagonal = 2.973
∴ The diagonal ≅ 3
The best estimate for the diagonal of the rectangle is 3
Learn more:
You can learn more about the rectangles in brainly.com/question/13084321
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