Select Module 8: Quadrilaterals Topic 2 Application: Rectangles Problem Set 7. $L T=4 x-5$ and $B Y=7 x-8$ Read Aloud Markup Comment Text Box $14 \cdot$ Equation Drawing Shapes a. $x=$

Step 1 ：The problem is asking for the value of x. Since LT and BY are sides of a rectangle, they are equal. Therefore, we can set the two expressions equal to each other and solve for x.

Step 2 ：Setting the two expressions equal to each other gives us the equation \(4x - 5 = 7x - 8\).

Step 3 ：Solving this equation gives us the final answer: \(x = \boxed{1}\).