what is the perimeter of parallelogram wxyz?\nthe perimeter is $square$. (type an integer or a decimal.)

what is the perimeter of parallelogram wxyz?\nthe perimeter is $square$. (type an integer or a decimal.)

what is the perimeter of parallelogram wxyz?\nthe perimeter is $square$. (type an integer or a decimal.)

Answer

Explanation:

Step1: Identify half-diagonal length

Half of diagonal $XZ = \frac{34+34}{2} = 34$

Step2: Use Pythagorean theorem

In right triangle $XWZ$ (since diagonals are equal, it's a rectangle, so $\angle W=90^\circ$), find $XW$: $$XW = \sqrt{34^2 - \left(\frac{60}{2}\right)^2} = \sqrt{1156 - 900} = \sqrt{256} = 16$$

Step3: Calculate perimeter

Perimeter = $2\times(XW + WZ) = 2\times(16 + 60)$

Answer:

152