Question

A triangle has side lengths of (2b + 5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?

Answers

  1. The perimeter of the triangle can be express as follows:
    12b + 11d + 2c

    How to find perimeter of a triangle?

    The perimeter of a figure is the sum of the whole sides of the figure.
    A triangle has three sides. Therefore, the perimeter of a triangle is the sum of the three sides.
    Therefore, the sides of the triangle are of lengths (2b + 5c) centimetres, (10b + 7d) centimetres, and (4d-3c) centimetres.
    Hence, the perimeter of the triangle can be represented as follows:
    Perimeter of the triangle = 2b + 5c + 10b + 7d + 4d – 3c
    Perimeter of the triangle = 2b + 10b + 7d + 4d + 5c – 3c
    Perimeter of the triangle = 12b + 11d + 2c
    Therefore, the perimeter of the triangle can be express as follows:
    12b + 11d + 2c
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