Among all rectangles having a perimeter of 24m, find the dimensions of the one with the largest area.
A) $9 \mathrm {~m} \text { by } 15 \mathrm {~m}$
B) $\frac { 9 } { 4 } \mathrm {~m} \text { by } \frac { 15 } { 4 } \mathrm {~m}$
C) $4 \mathrm {~m} \text { by } 6 \mathrm {~m}$
D) $6 \mathrm { mby } 6 \mathrm {~m}$
E) $\frac { 9 } { 2 } \mathrm {~m} \text { by } \frac { 15 } { 2 } \mathrm {~m}$

Question

Quizplus · Accepted Answer

The rectangle with the largest area for a given perimeter is a square. Given a perimeter of 24m, each side of the square would be 24m/4 = 6m, making the dimensions 6m by 6m.

Among All Rectangles Having a Perimeter of 24m, Find the Dimensions