For a rectangle with area 25 to have the smallest perimeter, what dimensions should it have ?
A) $5 \times 4$
B) $4 \times 6$
C) $5 \times 6$
D) $25 \times 1$
E) $5 \times 5$

Question

For a rectangle with area 25 to have the smallest perimeter, what dimensions should it have  ?
A) $5 \times 4$
B) $4 \times 6$
C) $5 \times 6$
D) $25 \times 1$
E) $5 \times 5$

Quizplus · Accepted Answer

For a given area, a square has the smallest perimeter because the sides are equal, minimizing the sum of all sides for a given area. Since $5 \times 5$ forms a square with an area of 25, it has the smallest perimeter among the options.

For a Rectangle with Area 25 to Have the Smallest 5×45 \times 45×4

For a Rectangle with Area 25 to Have the Smallest $5 \times 4$