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)
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To find the width of the larger rectangle, we can use the fact that the two rectangles are similar. Since the length of the larger rectangle is 17 ft and the length of the smaller rectangle is 3.4 ft, we can set up the following proportion:
small length / small width = large length / large width
3.4 ft / 5.7 ft = 17 ft / x ft
Cross multiplying, we get:
(3.4 ft)(x ft) = (5.7 ft)(17 ft)
3.4x = 97.9
Dividing both sides by 3.4, we find:
x = 28.79 ft
Therefore, the width of the larger rectangle is approximately 28.79 ft.
Apologies for the earlier incorrect response. Let's try again.
Since the two rectangles are similar, their corresponding sides are proportional. We can set up the following proportion:
small length / small width = large length / large width
3.4 ft / 5.7 ft = 17 ft / x ft
Cross-multiplying, we get:
3.4 ft * x ft = 5.7 ft * 17 ft
3.4x = 97.8 ft
Dividing both sides by 3.4, we find:
x ≈ 28.765 ft
Therefore, the width of the larger rectangle is approximately 28.765 ft.