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.

Question

Mathematics

Adrien Dudley

12 October, 02:46

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.

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Answers (1)

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Fabian Hinton · Answer 1

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