MATH SOLVE

2 months ago

Q:
# 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)

Sasha was not correct

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)

Sasha was not correct