A gardener has 43 feet of fencing to be used to enclose a rectangular garden tha
ID: 3136963 • Letter: A
Question
A gardener has 43 feet of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it (see the figure). Use this information to answer the following.
(a) If the length of the garden is to be twice its width, what will be the dimensions of the garden?
Leng=Widthe=
(Round to the nearest tenth as needed.)
b. what is the area of the garden?
Area= square feet
(c)If the length and width of the garden are to be the same, what would be the dimensions of the garden?
Length= feet
Width = feet
(Round to the nearest tenth as needed.)
(d) What would be the area of the square garden?
Area = square feet
(Round to the nearest tenth as needed.)
Explanation / Answer
fencing = 43 feet
let width = w
length = 2w
border = 2 feet
new length = 2w + 4
new width = w + 4
( 2w + 4 )+ ( w+4 ) = 43/2
3w + 8 = 43/2
width = 4.5 feet
length = 9 feet
b) area = 4.5 * 9 = 40.5 square feet
c) 2 ( l+ 4 + l + 4 ) = 43
2l + 8 = 43/2
l = 6.75
length = 6.8 feet
width = 6.8 feet
d) area = 6.75^2
= 45.6 square feet
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.