Arectangular 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.

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=1200equation 1

2(L+B)=1502

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

70

Step-by-step explanation:

If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power.  Those 9 terms are:

1, 8, 28, 56, 70, 56, 28, 8, 1

The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):