The lengths of the sides of a rectangle become 4 times greater than the original measurements. Which statement is true about the rectangle?
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OpenStudy (anonymous):
Its area becomes 4 times greater, and perimeter becomes 20 times greater.
Its area becomes 16 times greater, and perimeter becomes 4 times greater.
Its area becomes 4 times greater, and perimeter becomes 16 times greater.
Its area becomes 20 times greater, and perimeter becomes 4 times greater
OpenStudy (anonymous):
@Calcmathlete
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
Let L be the length and W be the width
The area is then A = LW
and the perimeter is P = 2L + 2W
OpenStudy (anonymous):
so what do i plug in ?
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jimthompson5910 (jim_thompson5910):
If you multiply each side by 4, then L becomes 4L and W becomes 4W
jimthompson5910 (jim_thompson5910):
So the new area is then
A = LW
A = (4L)*(4W)
...I'll let you continue
OpenStudy (anonymous):
is it the third one?
OpenStudy (anonymous):
?
OpenStudy (anonymous):
@huneya am I right?
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OpenStudy (anonymous):
ok cool
OpenStudy (anonymous):
........uh
jimthompson5910 (jim_thompson5910):
A = LW
A = (4L)*(4W)
A = (4*4)*(LW)
A = 16LW
So the new area is 16 times greater