Question

The area of this rectangle is at most 400 square centimeters.h16 cm(a) Write an inequality to represent all possible values for the height, h, for the given rectangle.(b) Solve the inequality. Show your work and label your answer.(c) Let h = 27 cm. Is this value of ʼn a valid solution to the inequality? Explain

Answer 1

Step 1

Given;

$\begin{gathered} The\text{ area=400cm}^2 \\ length=16cm \end{gathered}$

Step 2

If the area is at most 400 square centimeters, then the inequality that represents the possible values for the height,h, for the given rectangle will be;

$\begin{gathered} 400=16\times h \\ h=\frac{400}{16} \\ h=25cm \\ Hence,\text{ the inequality will be;} \\ 1cm\leq h\leq25cm \end{gathered}$