Question

Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below. Note: Figure is not drawn to scale. Todd wants to paint a design on the wood along the diagonal shown. If each tile is 13 centimeters on each side, what is the length of the diagonal shown?

A. 182 centimeters B. 91 centimeters C. 169 centimeters D. 130 centimeters

Answer 1

I might be wrong but I’d say (D) 130 Centimeters

Answer 2

The diagonal is 421.

Explanation:

This is a difficult question. To find the diagonal, you need to find the base and the height of the square. After that, you need to make it a triangle, by using this equation;
`A=(1)/(2) BH` (A being area, B being base, and H being height) then find the length of the hypotenuse of the triangle, which I will do for you.

`32*13=416` The B and H = 416. Plug it into the equation now;

`A=(1)/(2)(416*416)\\\\\\A=(1)/(2) 173,056\\\\\\A=86,528`Now that you have done that, we know that the area of our new triangle is 86,528.

The diagonal is:
`421`