This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: In an isosceles trapezoid, the non-parallel sides (legs) are equal in length. Step 2: Drop perpendiculars from the endpoints of the shorter top base to the longer bottom base, forming two right triangles on either end and a rectangle in the middle. Step 3: The legs of the trapezoid are the hypotenuses of these right triangles. For the legs to be equal, the right triangles must have equal base lengths (the overhanging segments). Step 4: The left overhanging segment has length 4 - x. The right overhanging segment has length x. Step 5: Set the overhanging segments equal: 4 - x = x Step 6: Add x to both sides: 4 - x + x = x + x 4 = 2x Step 7: Divide both sides by 2: x = (4)/(2) x = 2 2