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mart [117]
3 years ago
7

You plant a rectangular rose garden along the side of your garage. you enclose 3 sides of the garden with 40 feet of fencing. th

e total area of the garden is 100 square feet. find the possible dimensions of the garden. round to the nearest tenth.
Mathematics
1 answer:
ycow [4]3 years ago
5 0
Let x be the length of the garden
and y be the width of the garden.

since you only enclose 3 sides of the garden by a 40 ft fence. so the equation for this is:

2x + y = 40

and the area of the garden is 100 sq ft, so in equation
xy = 100
from equation 1, 2x + y = 40
y = 40 - 2x
substitute to equation 2

xy = 100
x ( 40 - 2x) = 100
40x - 2x^2 = 100
2x^2 - 40x + 100 = 0

x = 2.9 ft
y = 34.5 ft 
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