Question

The rectangle below has been reduced by a scale of StartFraction 1 over 10 EndFraction.

A rectangle has a length of 15 and width of 12.
[Not drawn to scale]

What is the area of the reduced rectangle?
0.18 square units
1.8 square units
18 square units
180 square units

Answer 1

To find the area of the reduced rectangle, we first need to apply the scale factor to the dimensions of the original rectangle.

The original rectangle has:
- Length = 15
- Width = 12

The scale factor is \(\frac{1}{10}\).

Now, we calculate the new dimensions:

- New Length = \(15 \times \frac{1}{10} = 1.5\)
- New Width = \(12 \times \frac{1}{10} = 1.2\)

Next, we calculate the area of the reduced rectangle:

\[
\text{Area} = \text{New Length} \times \text{New Width} = 1.5 \times 1.2
\]

Calculating this, we have:

\[
1.5 \times 1.2 = 1.8
\]

Thus, the area of the reduced rectangle is 1.8 square units.

Therefore, the correct answer is **1.8 square units**.