English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

7 answers

IN a rectangular shape, golden rectangular has maximum area.

Golden rectangular means leangth is always double to its width.

Assume length = L then width will be = L/2

3000 ft is the total circumference of the rectangle means

L + L/2 + L + L/2 = 3000

3L = 3000

hence L = 1000 ft

Size of the rectangular for maximum area covered

= 1000 ft X 500 ft

2007-02-14 13:33:29 · answer #1 · answered by Mritunjay 2 · 0 1

The largest area to circumference ratio for a rectangle is a perfect square.
Thus the area enclosed would be (3000/4)^2 sqft.

Done.

2007-02-14 13:29:46 · answer #2 · answered by Jerry P 6 · 1 0

60 times 50

2007-02-14 13:32:47 · answer #3 · answered by Anonymous · 0 1

3000/ 4 = A
AxA= your answer

2007-02-14 13:42:42 · answer #4 · answered by brebitz 2 · 0 1

permit e = length of section, w = width of section, A = part of rectangle, f = finished quantity of fencing. f = 2e+4w = 1200 e + 2w = six hundred e = six hundred - 2w A = e*w = (six hundred - 2w)*w = 600w - 2w^2 Take the spinoff of A. A' = six hundred - 4w Set A' equivalent to 0 and remedy for w. six hundred - 4w = 0 six hundred = 4w w = one hundred fifty A' is advantageous for wone hundred fifty, so the optimal of A occurs at w = one hundred fifty. e = six hundred - 2w = six hundred - 2*one hundred fifty = 3 hundred the dimensions of the rectangle are one hundred fifty ft via 3 hundred ft.

2016-10-02 03:57:39 · answer #5 · answered by ? 4 · 0 0

3000/4[sides]=750
750x750[lengthxwidth]=562500 square feet

2007-02-14 13:29:47 · answer #6 · answered by Anonymous · 1 0

500,000sq.ft.
side A 1,000
side B 1,000
sideC 500
side D 500
sides=3,000ft.
500 x 1,000
= sq.ft.

2007-02-14 13:41:00 · answer #7 · answered by Anonymous · 0 1

fedest.com, questions and answers