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

Dimension = 30.4 x 15.2 cm

Perimeter = 91.2 cm

Step-by-step explanation:

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

From the figure given we have by Pythagoras theorem

`76=√(a^2+(2a)^2) \\ \\ √(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