ammy1234
The lengths of the sides of a rectangle become 5 times greater than the original measurements. Which statement is true about the rectangle?
Answer
Its area becomes 5 times greater, and perimeter becomes 15 times greater.
Its area becomes 15 times greater, and perimeter becomes 5 times greater.
Its area becomes 25 times greater, and perimeter becomes 5 times greater.
Its area becomes 5 times greater, and perimeter becomes 25 times greater.
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Mertsj
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|dw:1329584966439:dw|
Mertsj
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Which choice do you think it is?
ammy1234
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Area 5 times greater and perimeter 15 times greater?
Mertsj
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Do you see the area of the first rectangle is w times L ?
ammy1234
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yeah
Mertsj
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What is the area of the second rectangle?
ammy1234
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25
Mertsj
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25 wl is the area of the second rectangle. Would you agree?
ammy1234
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sure
Mertsj
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wl and 25 wl Which one is bigger?
ammy1234
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25 wl..
Mertsj
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How many times bigger is 25 wl than 1wl?
ammy1234
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25 times bigger
Mertsj
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There's your answer. Good job!!
ammy1234
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Its area becomes 25 times greater, and perimeter becomes 5 times greater.
Mertsj
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I don't think that works for the perimeter. We could try it and see.
ammy1234
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well if its area is 25 times bigger it has to be that answer
ammy1234
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because its the only one that states the area is 25 times bigger
Mertsj
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|dw:1329585409440:dw|
Mertsj
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So how many times bigger is the new perimeter?
ammy1234
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5 times bigger yeah
Mertsj
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Yes. You see, the thing is in the case of the area, we makes the length 5 times bigger and the width 5 times bigger and then we multiply the 5w and 5l which means we have to multiply 5 times 5 and l times w. So the area becomes 25 times bigger.
Mertsj
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But in the case of the perimeter we only add them so we don't have to multiply the 5 by the 5.
ammy1234
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thank you for your time
Mertsj
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yw. Have a great weekend.