Question

HELP ASAP PLEASE!

A. Write an expression in simplest form for the perimeter of each triangle.

B. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle

Answer 1

Explanation:

lets take a look....

In order to find the perimeter of a triangle you have to get the sum of all sides. In other words,

Blue triangle:

`p = (4x +2) + (7x + 7) + (5x - 4) \\ p = 4x + 2 + 7x + 7 + 5x - 4 \\ p = 16x + 5`

Red triangle:

`p = (x + 3) + (2x - 5) + (x + 7) \\ p = x + 3 + 2x - 5 + x + 7 \\ p = 4x + 5`

Difference:

`d = (16x + 5) - (4x + 5) \\ d = 16x + 5 - 4x - 5 = 12x \\ d = 12x`