Question

incorrect
your answer is incorrect.
the perimeter of the rectangle below is 190 units. find the length of side $overline{ad}$. write your answer without variables.
your answer
$ad=\square$

Explanation:

Step1: Recall rectangle perimeter formula

Perimeter $P = 2(l + w)$, where $l=5z+2$, $w=4z+3$, $P=190$.
$$190 = 2[(5z+2)+(4z+3)]$$

Step2: Simplify the equation

Combine like terms inside brackets.
$$190 = 2(9z + 5)$$

Step3: Solve for z

Divide both sides by 2, then isolate z.
$$95 = 9z + 5$$
$$9z = 95 - 5 = 90$$
$$z = \frac{90}{9} = 10$$

Step4: Calculate length of $\overline{AD}$

Substitute $z=10$ into $4z+3$.
$$AD = 4(10) + 3 = 43$$

Answer:

43