Question

consider the reduction of the rectangle.
2.3 ft
16.8 ft
x ft
4.5 ft
not drawn to scale
rounded to the nearest tenth, what is the value of x?
0.1 feet
0.6 feet
1.6 feet
2.0 feet

Explanation:

Step1: Set up proportion

Since it's a reduction of a rectangle, the ratios of corresponding sides are equal. So, $\frac{2.3}{16.8}=\frac{x}{4.5}$.

Step2: Solve for x

Cross - multiply: $16.8x = 2.3\times4.5$. Calculate $2.3\times4.5 = 10.35$. Then $x=\frac{10.35}{16.8}$.

Step3: Compute and round

$\frac{10.35}{16.8}\approx0.6$ (rounded to the nearest tenth).

Answer:

0.6 feet