Question

7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the garden is represented by 10r ^ 2 + 12r + 9 . Which expression represents the length of the third side ?

Answer 1

Answer:
`15r^2-21r+5`

Explanation:

Given: Perimeter of triangular garden =
`25r^2 - 9r + 14`

The sum of two sides of the garden =
`10r^2 + 12r + 9`

Perimeter is the sum of all sides of a triangle.

Third side = Perimeter of triangular garden - sum of two sides of the garden

`=25r ^ 2 - 9r + 14-(10r ^ 2 + 12r + 9)\\\\=25r ^ 2 - 9r + 14-10r ^ 2 - 12r - 9\\\\=15r^2-21r+5`

The expression represent the third side =
`15r^2-21r+5`.