Question

The area of a parallelogram must be less than 180 cm2
. The base is 15 cm. How would you write and solve an inequality describing h
, the height of the parallelogram? You will find the option to add inequality symbols in the Comparison (<)
keyboard.(1 point)
h
cm

Answer 1

To find an inequality describing the height \( h \) of a parallelogram with a base of 15 cm and an area that must be less than 180 cm², we can use the formula for the area of a parallelogram:

\[
\text{Area} = \text{base} \times \text{height}
\]

Given that the area must be less than 180 cm², we can write the inequality as follows:

\[
15 \times h < 180
\]

Now, to solve the inequality for \( h \), we can divide both sides of the inequality by 15:

\[
h < \frac{180}{15}
\]

Calculating the right side:

\[
h < 12
\]

So, the inequality describing the height \( h \) of the parallelogram is:

\[
h < 12 \, \text{cm}
\]

This means the height of the parallelogram must be less than 12 cm.