Trapezoid Rectangle Width
1. The problem gives a trapezoid divided into two figures: a smaller trapezoid on the left with sides labeled 3, 7, and 11, and a rectangle on the right with an unknown width labeled ?.
2. We want to find the length marked as ? (width of the rectangle on the right).
3. Note that the side of length 11 is the entire height of the trapezoid (and rectangle), so the vertical side of the rectangle is 11.
4. The trapezoid has two parallel sides: the top side of length 3, and the bottom side of length 7.
5. The trapezoid is divided such that the rectangle's width plus the unknown smaller trapezoid's bottom side length should equal the total bottom length of 7.
6. The smaller trapezoid's top side is 3, but the vertical sides and lengths indicate that we can use the difference in bases to find the width of the rectangle.
7. Using the rule for trapezoids, the top and bottom bases are parallel, so the difference between bottom base (7) and top base (3) is 4.
8. Because the rectangle sits to the right of the trapezoid, the width of the rectangle is this difference in bases.
Final answer:
$$ ? = 7 - 3 = 4 $$
Thus, the width of the rectangle is 4.