Find the dimensions of a rectangular enclosure with perimeter 40 yd and area $91 \mathrm { yd } ^ { 2 }$
A) 15 yd by 6 yd
B) 16 yd by 7 yd
C) 14 yd by 6 yd
D) 13 yd by 7 yd

Question

Quizplus · Accepted Answer

The dimensions that satisfy both the perimeter and area conditions are 13 yd by 7 yd. The perimeter of a rectangle is given by $2(l + w)$ and the area by $l \times w$. For option D, the perimeter is $2(13 + 7) = 40$ yd, and the area is $13 \times 7 = 91$ yd$^2$, matching the given conditions.

Find the Dimensions of a Rectangular Enclosure with Perimeter 40 91yd291 \mathrm { yd } ^ { 2 }91yd2

Find the Dimensions of a Rectangular Enclosure with Perimeter 40 $91 \mathrm { yd } ^ { 2 }$