5. "It is obvious," said Mike with insulting slowness, "that since the area is a square measuring 40 on a side the perimeter must be 160 feet."

Question

BlackTom AI · Accepted Answer

The question presents a quotation about a square with side length 40 and asks us to consider the claim about its perimeter.
First, recall the formula for the perimeter of a square: P = 4 × side length. In this case, the side length is 40, so P = 4 × 40 = 160.
Option analysis begins with the provided answer: 'perimeter'. Since the claim in the sentence is about the perimeter of the square, this is the quantity being discussed and is therefore the relevant concept here.
If we consider potential distractors, we might think about area, which for a square would be side squared (40 × 40 = 1600). However, the statement in question explicitly concerns the perimeter, not the area, so the area calculation is not what this sentence is evaluating.
Another angle is to examine the role of language in the sentence. The line uses a diagnostic claim about a geometric property based on the given side length, and the mathematical fact aligns with the standard formula for a square's boundary length rather than any other property.
In summary, the correct concept to address given the statement is the perimeter, since the side length directly determines the total boundary length, which equals 160 feet for a 40-foot side square.

CLA 030 001 WQ 2025 Homework 23: Easily Confused Words, pp. 154-55

5. "It is obvious," said Mike with insulting slowness, "that since the area is a square measuring 40 on a side the perimeter must be 160 feet."

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