Answer:
L=23.1ft, L=51.86ft
Step-by-step 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
