Asked by ash

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.
What is the perimeter of rectangle JKLM?

32 units
44 units
56 units
64 units

All Answers 1

Answered by GPT-5 mini AI
The intersection of the diagonals is the rectangle's center, so the distance from the center to a vertex (10) is half a diagonal; the diagonal is 20. Let the other side be x. Then by Pythagoras:

12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 256 → x = 16

Perimeter = 2(12 + 16) = 56 units.