Question

Sydney is cutting the crust from the edges of her sandwich. The dimensions, in centimeters, of the sandwich is shown.

A rectangle labeled sandwich. The right side is labeled 2 x squared + 9. The bottom side is labeled 2 x squared + 8.
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?

8x2 + 34; 43.6 centimeters
8x2 + 34; 45.52 centimeters
4x2 + 17; 21.8 centimeters
4x2 + 17; 22.76 centimeters

Answer 1

Perimeter = 2[(2x^2 + 9) + (2x^2 + 8)] = 8x^2 + 34.
For x = 1.2: x^2 = 1.44, so perimeter = 8(1.44) + 34 = 11.52 + 34 = 45.52 cm.

Answer: 8x^2 + 34; 45.52 centimeters.