Arectangular garden is 80 m by 60 m. part of the garden is torn up to install a strip of lawn of equal width around the garden. the new area of the garden is 800 m squared. how wide is the strip of lawn?

Step-by-step explanation:

let x < 30 be the width of strip of lawn.

then (80-2x)(60-2x)=800

4800-160x-120x+4x²=800

4x²-280x+4000=0

x²-70 x+1000=0

x²-20x-50x+1000=0

x(x-20)-50(x-20)=0

(x-20)(x-50)=0

x=20,50

x=50(rejected)

x=20 m

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet