The ratio of the area of the smaller rectangle to the area of the larger
rectangle is [tex]\frac{9}{25}[/tex]
Step-by-step explanation:
The formula of the area of a rectangle is A = l × w, where l and w
are its dimensions
- The dimensions of a smaller rectangle are 3 ft by 9 ft
- The dimensions of a larger rectangle are 5 ft by 15 ft
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 = [tex]\frac{9}{25}[/tex]
The ratio of the area of the smaller rectangle to the area of the larger
rectangle is [tex]\frac{9}{25}[/tex]
Learn more:
You can learn more about the ratio in brainly.com/question/10781917
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