Answer:
Step-by-step explanation:
The surface area of a cylinder is given as
We have that the radius of the box is inches.
The height of the gift box is three times the radius.
We substitute into the formula to get:
We simplify the last parenthesis to get:
We expand the last two binomial factors to get:
We expand further to get:
The ratio of the area of the smaller rectangle to the area of the larger
rectangle is
Step-by-step explanation:
The formula of the area of a rectangle is A = l × w, where l and w
are its dimensions
We want to find the ratio of the area of the smaller rectangle to
the area of the larger rectangle
∵ The dimensions of the smaller rectangle are 3 ft and 9 ft
∴ The area of the smaller rectangle = 3 × 9 = 27 feet²
∵ The dimensions of the larger rectangle are 5 ft and 15 ft
∴ The area of the smaller rectangle = 5 × 15 = 75 feet²
Let us find the ratio of the area of the smaller rectangle to the area
of the larger rectangle
→ smaller rectangle : larger rectangle
→ 27 : 75
Divide the both terms of the ratio by 3
→ 9 : 25
The two terms of the ratio do not divisible by any other number
∴ The simplest form of the ratio is 9 : 25
∴ The ratio of the area of the smaller rectangle to the area of the larger
rectangle =
The ratio of the area of the smaller rectangle to the area of the larger
rectangle is
Learn more:
You can learn more about the ratio in brainly.com/question/10781917
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