If a rectangle has length x+4 and breadth x+4, which figure is it equivalent to?

Correct answer: A square with side x+4

The direct answer is B: a square with side x+4. A square is a quadrilateral with four equal sides and right angles. In the given rectangle, the length is x+4 and the breadth is also x+4. Since the two adjacent dimensions are equal, the opposite dimensions are equal as well, so all four sides have length x+4; the rectangle is therefore a square. Its area is (x+4)(x+4)=(x+4)^2, and expanding gives x^2+8x+16. A describes a generally different rectangle with area 4x, not the given area. B repeats both given dimensions and is correct. C has a different side length and would have area (x-4)^2. D has unequal dimensions x+8 and x, so it is not the same figure or area in general. The useful rule is: when a rectangle’s length equals its breadth, it is a square; the common dimension becomes the square’s side.