Question

quadrilateral abcd is a rectangle, ac = 2w, and bd = w + 77. what is ac? c b e d a ac =

Explanation:

Step1: Set diagonals equal (rectangle property)

$AC = BD$

Step2: Substitute given expressions

$2w = w + 77$

Step3: Solve for $w$

$2w - w = 77 \implies w = 77$

Step4: Calculate length of $AC$

$AC = 2w = 2 \times 77$

Answer:

154