Question

The width of a rectangle measures 7.5b+5.5c centimeters, and its length measures 2.9b+5.9c centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer 1

Perimeter=20.8b+22.8c centimeters

The perimeter of a rectangle is the sum of all its sides. For this rectangle:

Width = 7.5b+5.5c centimeters

Length = 2.9b+5.9c centimeters

To find the perimeter, you add up all four sides:

Perimeter=2×(Length+Width)

Perimeter=2×((7.5b+5.5c)+(2.9b+5.9c))

Perimeter=2×(7.5b+5.5c+2.9b+5.9c)

Perimeter=2×(10.4b+11.4c)

Perimeter=20.8b+22.8c centimeters