Question

A triangle has sides length of (4.1p+4.4q) centimeter,(6.4p-5.1r)centimeters ,and (1.3r+6.3q)centimeters . Which expression represents the perimeter , in centimeter , of triangle ?

Answer 1

The perimeter of the rectangle is 10.5p + 10.7q - 3.8r

Explanation:

The perimeter of the triangle is calculated by adding the values of the three sides.

In this case, the values of the individual sides are expressed algebraically.

We can still add them, however, taking into consideration like terms.

Perimenter of triangle = (4.1p+4.4q) + (6.4p-5.1r) + (1.3r+6.3q)

Perimeter = 4.1p + 6.4p + 4.4q + 6.3q -5.1r + 1.3r

Now we have grouped them, we can add the different groups separately

Perimeter = 10.5p + 10.7q - 3.8r

Therefore, the perimeter of the rectangle is 10.5p + 10.7q - 3.8r