Answer: the missing measure on the big rectangle is 30 feet.
Step-by-step explanation:
If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.
The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that
x/12 = 5/2
Cross multiplying, it becomes
2x = 12 × 5 = 60
x = 60/2 = 30
The volume is scale factor³
Take the square root of the volume ratio
which is
The ratio of their radii is 3 : 5
The answer is 172. hope that helps
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