Question

smaller rectangle has length of 3.4 and width of 5.7, larger rectangle has length of 17 what is the width

Answer 1

To find the width of the larger rectangle that maintains the same aspect ratio as the smaller rectangle, we can set up a proportion based on the ratios of the dimensions.

The aspect ratio of the smaller rectangle is given by its length and width:
\[
\text{Aspect Ratio} = \frac{\text{Length}}{\text{Width}} = \frac{3.4}{5.7}
\]

For the larger rectangle, we know the length is 17. Let the width of the larger rectangle be \( W \). We can set up the following equation using the aspect ratio:
\[
\frac{3.4}{5.7} = \frac{17}{W}
\]

Now, we can cross-multiply to solve for \( W \):
\[
3.4 \cdot W = 5.7 \cdot 17
\]
Calculating \( 5.7 \cdot 17 \):
\[
5.7 \cdot 17 = 96.9
\]

Now substituting back:
\[
3.4W = 96.9
\]

Next, we divide both sides by 3.4 to find \( W \):
\[
W = \frac{96.9}{3.4} \approx 28.5
\]

Thus, the width of the larger rectangle is approximately \( 28.5 \).