Current location - Training Enrollment Network - Mathematics courses - Help me solve this math problem. At165m 2 (below), can the farm be surrounded by 75m rope?
Help me solve this math problem. At165m 2 (below), can the farm be surrounded by 75m rope?
(8+2x)(x+8+x/2)= 165

(8+2x)(3x+8)=330

6x? +40x+64-330=0

6x? +40x-266=0

3x? +20x- 133=0

x=[-20 √(20? +3*4* 133)]/2*3

=(-20 √ 1996)/6

=(-20 45)/6

x≈4. 1

(8+2x+x+8+x/2)*2+8*3

=7x+32+24

=7*4. 1+32+24

=28.7+32+24

=84.7>75

Therefore, a 75-meter rope cannot enclose this farm.

If there is no rope around the place that can be recessed, it can be directly surrounded.