Question

Consider the reduction of the rectangle.
2.3 ft
X
ft
16.8 ft
Not drawn to scale
Rounded to the nearest tenth, what is the value of x?
O
O
O
O
0.1 feet
0.6 feet
1.6 feet
2.0 feet

Answer 1

Given:

Given that the two rectangles with the reduction of the one of the two rectangles.

We need to determine the value of x.

Value of x:

Let us determine the value of x.

Since, the two rectangles are only reduced in lengths and width, then their lengths and widths are proportional.

Thus, we have;

$\frac{16.8}{4.5}=\frac{2.3}{x}$

Cross multiplying, we have;

$16.8 \times x=2.3 \times 4.5$

Simplifying, we get;

$16.8 x=10.35$

Dividing both sides of the equation by 16.8, we get;

$x=0.6$

Thus, the value of x is 0.6

Hence, Option b is the correct answer.