Answer
rectangle $x\leq24$
triangle $x\gt1$
Work Step by Step
The area of a rectangle is found by multiplying length times width. In the diagram, the width is 3 and the length is x.
$3x\leq72\longrightarrow$ divide each side by 3
$3x\div3\leq72\div3\longrightarrow$ divide
$x\leq24$
The area of a triangle is $\frac{1}{2}bh$. In the diagram, the base is 20 and the height is $x+2$.
$\frac{1}{2}(20)(x+2)\gt30\longrightarrow$ multiply
$10(x+2)\gt30\longrightarrow$ multiply using the distributive property
$10x+20\gt30\longrightarrow$ subtract 20 from each side
$10x+20-20\gt30-20\longrightarrow$ subtract
$10x\gt10\longrightarrow$ divide each side by 10
$10x\div10\gt10\div10\longrightarrow$ divide
$x\gt1$
