Question

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. describe the possible lengths of the garden. round your answers to the nearest foot.

Answer 1

The possible lengths of the garden would be all of the common factors of 1200.
1 , 1200
2 , 600
3 , 400
4 , 300
5 , 240
6 , 200
7 , 171.43
8 , 150
9 , 133.33
10 . 120
11 . 109.09
12. 100
13. 92.31
14. 85.71
15. 80
16. 75
17. 70.59
18. 66.67
19. 63.15
20. 60
And so on. (all of the above are in pairs)

Answer 2

L=23.1ft, L=51.86ft

Explanation:

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. describe the possible lengths of the garden. round your answers to the nearest foot.

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are 90 degrees

A rectangle is a four sided parallelogram. two sides are equal.

perimeter of a rectangle is the sum of the sides.

perimeter of a rectangle is given by=2(L+B)

P=L*W

area of a rectangle=L*B

L*B=1200........................................equation 1

2(L+B)=150........................................2

from 1

B=1200/L

substituting B into equation 2

2(L+1200/L)=150

L+1200/L=75

L^2+1200=75L

L^2-75L+1200=0

L=23.1, L=51.86

These are the possible lengths of the rectangular garden