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#17: if the area of a rectangle measures 20 square inches, the side len…

Question

#17: if the area of a rectangle measures 20 square inches, the side lengths must be 4 inches and 5 inches. * 1 point choose
if the statement above is false, provide a counterexample. your answer
#18: the product of two whole numbers is always larger than both numbers. * 1 point choose
if the statement above is false, provide a counterexample.

Explanation:

Step1: Analyze rectangle area statement

The area of a rectangle is $A = l\times w$. While $4\times5 = 20$, other pairs like $2\times10 = 20$ exist.

Step2: Analyze whole - number product statement

Consider the product of a whole number and 1. For example, $1\times5=5$, where the product is not larger than 5.

Answer:

#17: False. Counter - example: side lengths 2 inches and 10 inches (since $2\times10 = 20$ square inches).
#18: False. Counter - example: $1\times5 = 5$, the product is not larger than 5.