Question

A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What are the dimensions of the tabletop? What is it’s perimeter?

Answer 1

Answer:

  Dimension = 30.4 x 15.2 cm

  Perimeter = 91.2 cm

Explanation:

Let width of rectangle be a, so the length of rectangle = 2a.

From the figure given we have by Pythagoras theorem

               $76=\sqrt{a^2+(2a)^2} \\ \\ \sqrt{5} a=76\\ \\ a=15.2inch$

 So, width of rectangle = 15.2 inches.

       Length of rectangle = 30.4 inches.

       Perimeter = 2 x (15.2 + 30.4) = 91.2 cm

 Dimension = 30.4 x 15.2 cm

  Perimeter = 91.2 cm