The area of a rectangular door is 4m + 8n - 12. Which of the following gives its dimensions?

4, m + 2n - 3

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4, m + 8n - 12

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4, m + 4n - 3

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4, 4m + 2n - 4

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Solution

The correct option is A 4, m + 2n - 3
Area of rectangle = Length $\times$ Width

Area of the door = 4m + 8n - 12

Common factor of the terms 4m, 8n, and -12 is 4.

Taking 4 common from both sides, we get,

4m + 8n - 12 = 4(m + 2n - 3)

Hence, the dimensions of the door are 4, (m + 2n - 3)

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The area of a rectangular door is 4m + 8n - 12. Which of the following gives its dimensions?

The correct option is A 4, m + 2n - 3Area of rectangle = Length × Width Area of the door = 4m + 8n - 12 Common factor of the terms 4m, 8n, and -12 is 4. Taking 4 common from both sides, we get, 4m + 8n - 12 = 4(m + 2n - 3) Hence, the dimensions of the door are 4, (m + 2n - 3)

The correct option is A 4, m + 2n - 3
Area of rectangle = Length $\times$ Width

Area of the door = 4m + 8n - 12

Common factor of the terms 4m, 8n, and -12 is 4.

Taking 4 common from both sides, we get,

4m + 8n - 12 = 4(m + 2n - 3)

Hence, the dimensions of the door are 4, (m + 2n - 3)