Question

quadrilateral stuv is a rectangle, su = 2y, and tv = y + 87. what is the value of y?

Explanation:

Step1: Recall rectangle diagonals property

In a rectangle, the diagonals are equal in length. So, \( SU = TV \).

Step2: Set up the equation

Given \( SU = 2y \) and \( TV = y + 87 \), we set them equal: \( 2y = y + 87 \).

Step3: Solve for y

Subtract \( y \) from both sides: \( 2y - y = y + 87 - y \), which simplifies to \( y = 87 \).

Answer:

\( y = 87 \)