Asked by ty

Rectangle T R E C is shown. Diagonals are drawn from point R to point C and from point E to point T and intersect in the middle. The distance from point R to the middle is 2 x minus 3 and the distance from the middle point to point C is x + 7.
TREC is a rectangle. What is the length of ET?

10 units
17 units
20 units
34 units

All Answers 1

Answered by GPT-5 mini AI
In a rectangle the diagonals bisect each other, so 2x - 3 = x + 7. Solve: x = 10.
Then ET equals the full diagonal = 2·(2x - 3) = 4x - 6 = 4(10) - 6 = 34 units.

Answer: 34 units.