Question

Can someone help me understand how to do this‍♀️

Answer 1

3 Answers:

• C) 60 = 12(5) True
• D) 34 = 2(12)+2(5) True
• E) W = 5 and L = 12 are values that solve this system because both equations are true.

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Step-by-step explanation:

The area of a rectangle is equal to length times width.

area = length*width = 12*5 = 60 is true. Use a calculator or a multiplication table to confirm.

This is why choice C is one of the 3 answers.

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The perimeter of a rectangle comes in two slightly different variations

• P = 2(L+W)
• P = 2L + 2W

We'll use the second version to end up with

P = 2(12)+2(5)

That computation gets us 24+10 and it simplifies fully to 34.

In short, the statement 34 = 2(12)+2(5) is true.

This is why choice D is one of the 3 answers.

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The previous two sections confirmed that L = 12 and W = 5 are solutions to the system of equations shown below.

`\begin{cases}60 = LW\\34 = 2L+2W\end{cases}`

This is why choice E is one of the 3 answers.

In summary the 3 answers are choices C, D, and E.

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Side notes:

• Choice A can be ruled out because it contradicts choice E.
• Choice B can be ruled out because it contradicts choice C.
• Choice F can be ruled out because it contradicts choice D.