Question

NEED DONE FAST GIVING 40 POINTS

A rectangular tile has a thin diagonal line drawn in its design. The longer dimension of the tile is 12 inches. The angle formed by the diagonal and the shorter side of the tile is 72°.

What is the perimeter of the tile?

Answer 1

32in (rounded) 31.78 (original answer)

Explanation:

31.78in rounded to the nearest inch is 32in.

Answer 2

To solve this problem you must apply the proccedure shown below:

1. The perimeter of a rectangle can be calculated with the following formula:

`Perimeter=2Width+2Length`

2. The width is:

`Tan\alpha=opposite/adjacent\\Tan(72)=12/W\\ W=(12)(Tan(72))\\ W=3.89 in`

3. Now, you must substitute the values into the formula for calculate the perimeter:

`Perimeter=2(3.89in)+2(12in)\\ Perimeter=31.78in`

Therefore, the answer is:
`31.78 in`