Question

Find the lengths of the diagonals of rectangle WXYZ.

WY - 14x + 10
XZ = 11x + 22

The length of each diagonal is ___ units.

Answer 1

Answer: -4

Step-by-step explanation: u have to do -14x+11x=-3 then u do 22-10=12 now u have to do 12 divide by -3 and u will get -4 as ur answer

Answer 2

66 units

Explanation:

Diagonals in a rectangle are congruent (equal)

14x + 10 = 11x + 22

Subtract 11x from the right side and subtract -10 from the left to isolate the x's with a constant

You would get: 3x = 12

Divide both sides by 3 to isolate the x by itself;

You would get: x = 4

Next, plug in the value of 4 for whichever equation you want.

11(4) + 22 is what I chose and I got 66.

Hope this helps.