3 Answers:
- A) The product of the area model is 3055
- D) The missing number is 200
- E) The model shows 47 x 65
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Step-by-step explanation:
The first number along the top is 40, and it multiplies with the second number along the side to get 40 x 5 = 200
You can think of it as 4 x 5 = 20, then you tack on an extra 0 to the '4' and to the '2' as well, so it keeps things balanced.
So this explains how choice D is one of the answers.
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After 200 fills in that question mark, we'll have these four numbers inside the table: 2400, 420, 200, and 35
Those four values add up to: 2400+420+200+35 = 3055
This shows that choice A is one of the answers.
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Finally, choice E is the third answer because along the top we have 40+7 = 47, and along the side we have 60+5 = 65
Put another way, the total top length is the sum of the two smaller pieces of 40 and 7, which explains how the total top length is 47 units long. A similar argument happens for the left side values as well.
We ultimately have a rectangle that is 47 units across in the horizontal direction, and 65 units tall in the vertical direction.
With your calculator, you should note that 47*65 = 3055 to help confirm everything lines up.
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Extra info:
Choice B is false because this contradicts choice D.
Choice C is false because it contradicts choice E