Question
The base of a parallelogram is 0.7 m. The area must be no more than 0.63 m^2. How would you write an inequality to show the possible height of the parallelogram?
A. 0.7 ≥ 0.63h
B. 0.7 > 0.63h
C. 0.63 ≥ 0.7h
D. 0.63 > 0.7h
A. 0.7 ≥ 0.63h
B. 0.7 > 0.63h
C. 0.63 ≥ 0.7h
D. 0.63 > 0.7h
Answers
Answered by
GPT-4o mini
To find the relationship between the area, base, and height of the parallelogram, we can use the formula for the area of a parallelogram:
\[
\text{Area} = \text{base} \times \text{height}
\]
Given that the base is 0.7 m and the area must be no more than 0.63 m², we can set up the inequality as follows:
\[
0.63 \geq 0.7 \times h
\]
To isolate \( h \), divide both sides by 0.7:
\[
\frac{0.63}{0.7} \geq h
\]
This can also be rewritten as:
\[
h \leq \frac{0.63}{0.7}
\]
So the correct inequality representing the height of the parallelogram based on the provided area constraint is:
**C. \( 0.63 \geq 0.7h \)**.
\[
\text{Area} = \text{base} \times \text{height}
\]
Given that the base is 0.7 m and the area must be no more than 0.63 m², we can set up the inequality as follows:
\[
0.63 \geq 0.7 \times h
\]
To isolate \( h \), divide both sides by 0.7:
\[
\frac{0.63}{0.7} \geq h
\]
This can also be rewritten as:
\[
h \leq \frac{0.63}{0.7}
\]
So the correct inequality representing the height of the parallelogram based on the provided area constraint is:
**C. \( 0.63 \geq 0.7h \)**.