A rectangle has a length of (3.2a 1 0.18b) centimeters. The width is half the length. Sasha writes the expression (12.8a 1 0.72b) to represent the perimeter of the rectangle in centimeters. Is Sasha’s reasoning correct? Explain.
Accepted Solution
A:
Perimeter of the rectangle will be given by: P=2(L+W) L=(3.2a 10.18b) W=1/2(3.2a 10.18b)=(1.6a 5.9b) Thus the perimeter will be: P=2(3.2a 10.18b+1.6a 5.9b) P=2(4.8a 16.08b) P=(9.6a+ 32.16b)