Chapter 8.1, Problem 41PPE

i.

To determine

To calculate: the missing length.

Answer to Problem 41PPE

  $9x-1$

Explanation of Solution

Given information: The perimeter of a triangular park is $16x+3$ . Other two lengths are $5x-1$ and $2x+5$

Calculation:

The sum of the two sides of triangles is, $5x-1+2x+5=7x+4$

Now, the perimeter of a triangle is the sum of all three sides of a triangle, Therefore, the missing length of a tringle is, $16x+3-(7x+4)=9x-1$

ii.

To determine

To calculate: sum of the given two side lengths.

Answer to Problem 41PPE

  $7x+4$

Explanation of Solution

Given information: The perimeter of a triangular park is $16x+3$ . Other two lengths are $5x-1$ and $2x+5$

Calculation:

The sum of the two sides of triangles is, $5x-1+2x+5=7x+4$

iii.

To determine

To calculate: operation you should use to find the missing length.

Answer to Problem 41PPE

subtraction

Explanation of Solution

Given information: The perimeter of a triangular park is $16x+3$ . Other two lengths are

  $5x-1$ and $2x+5$

Calculation:

The sum of the two sides of triangles is, $5x-1+2x+5=7x+4$

Now, the perimeter of a triangle is the sum of all three sides of a triangle, Therefore, the missing length of a tringle can be found by subtracting sum from the perimeter, $16x+3-(7x+4)=9x-1$