Question

what is the perimeter of the triangle? select an answer what is the area of the triangle? select an answer round your final answers to one decimal place, if necessary.

Explanation:

Perimeter of the Triangle

Step1: Recall perimeter formula for triangle

The perimeter \( P \) of a triangle is the sum of its three side lengths. Let the side lengths be \( a = 6.7 \) yd, \( b = 14.3 \) yd, and \( c = 16 \) yd.

Step2: Calculate the sum

\( P = 6.7 + 14.3 + 16 \)
First, add \( 6.7 \) and \( 14.3 \): \( 6.7 + 14.3 = 21 \)
Then, add the result to \( 16 \): \( 21 + 16 = 37 \)

Step1: Recall area formula for triangle

The area \( A \) of a triangle is given by \( A=\frac{1}{2}\times base\times height \). Here, the base \( b = 16 \) yd and the height \( h = 6 \) yd.

Step2: Substitute values into the formula

\( A=\frac{1}{2}\times16\times6 \)
First, calculate \( 16\times6 = 96 \)
Then, multiply by \( \frac{1}{2} \): \( \frac{1}{2}\times96 = 48 \)

Answer:

The perimeter of the triangle is \( 37.0 \) yards (or 37 yards as it is a whole number).

Area of the Triangle