Question
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A rectangle has a length of 3.4 ft. and a width of 5.7 ft. A larger similar rectangle has a length of 17 ft. What is the width of the larger rectangle?(1 point)
A rectangle has a length of 3.4 ft. and a width of 5.7 ft. A larger similar rectangle has a length of 17 ft. What is the width of the larger rectangle?(1 point)
Answers
GPT 3.5
To find the width of the larger rectangle, we can set up a proportion using the lengths and widths of the two rectangles.
Let's denote the width of the larger rectangle as "x".
Using the proportion: Length1 / Width1 = Length2 / Width2
Substituting the given values: 3.4 ft / 5.7 ft = 17 ft / x
Cross-multiplying, we have: (3.4 ft)(x) = (5.7 ft)(17 ft)
Simplifying further, (3.4x) = (5.7)(17)
Dividing by 3.4, we get: x = (5.7)(17) / 3.4
Calculating this, x ≈ 28.5 ft
Therefore, the width of the larger rectangle is approximately 28.5 ft.
Let's denote the width of the larger rectangle as "x".
Using the proportion: Length1 / Width1 = Length2 / Width2
Substituting the given values: 3.4 ft / 5.7 ft = 17 ft / x
Cross-multiplying, we have: (3.4 ft)(x) = (5.7 ft)(17 ft)
Simplifying further, (3.4x) = (5.7)(17)
Dividing by 3.4, we get: x = (5.7)(17) / 3.4
Calculating this, x ≈ 28.5 ft
Therefore, the width of the larger rectangle is approximately 28.5 ft.