Is there another output that would be true when the area of the rectangle is 16 cm

Question

2
? For example, imagine if the area of the rectangle was 16 cm
2
but the width of the rectangle was something other than 2 cm. Could the length be another value than 8cm?
Area of a
rectangle (cm
2
) Length of a
rectangle (cm)
16 8

Yes

No

Answer 1

Yes, there can be other combinations of length and width that result in an area of 16 cm². The area \( A \) of a rectangle is given by the formula:

\[ A = \text{length} \times \text{width} \]

If the area is 16 cm², you can have different pairs of length and width that multiply together to give 16. For example:

• If the width is 4 cm, then the length can be \( \frac{16}{4} = 4 \) cm.
• If the width is 1 cm, then the length can be \( \frac{16}{1} = 16 \) cm.
• If the width is 0.5 cm, then the length can be \( \frac{16}{0.5} = 32 \) cm.

So, there are indeed multiple pairs of lengths and widths that will give an area of 16 cm², making the answer "Yes."