Find the length and width of a rectangle that has perimeter meters and a maximum area.
A) $12 \mathrm {~m} ; 12 \mathrm {~m}$.
B) $16 \mathrm {~m} ; 9 \mathrm {~m}$.
C) $1 \mathrm {~m} ; 23 \mathrm {~m}$.
D) $13 \mathrm {~m} ; 11 \mathrm {~m}$.
E) $6 \mathrm {~m} ; 18 \mathrm {~m}$.

Question

Find the length and width of a rectangle that has perimeter meters and a maximum area. 
A) $12 \mathrm {~m} ; 12 \mathrm {~m}$.
B) $16 \mathrm {~m} ; 9 \mathrm {~m}$.
C) $1 \mathrm {~m} ; 23 \mathrm {~m}$.
D) $13 \mathrm {~m} ; 11 \mathrm {~m}$.
E) $6 \mathrm {~m} ; 18 \mathrm {~m}$.

Quizplus · Accepted Answer

For a rectangle with a given perimeter, the maximum area is achieved when the rectangle is a square, meaning its length and width are equal.

Find the Length and Width of a Rectangle That Has 12 m;12 m12 \mathrm {~m} ; 12 \mathrm {~m}12 m;12 m

Find the Length and Width of a Rectangle That Has $12 \mathrm {~m} ; 12 \mathrm {~m}$