Answer:
2
Step-by-step explanation:
The correct question is
The raised vegetable garden in Susan's yard is in the shape of a rectangular prism with a volume of 48 cubic feet and a height of 3/4 foot. <span>The base of the rectangular prism is not a square and the width is greater than 2 feet. What is the length and width of the rectangular prism?
let
x-------> the length of the base of the rectangular prism
</span>y-------> the width of the base of the rectangular prism
<span>
we know that
volume of the prism=area of the base*height
volume=48 ft</span>³
<span>height of the prism=3/4 ft
area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft</span>²
<span>
area of the base=64 ft</span>²
<span>area of the base=x*y
64=x*y--------> equation 1
y=x+2--------> equation 2
substitute equation 2 in equation 1
64=x*[x+2]-----> 64=x</span>²+2x------> x²+2x-64=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=7.062 ft
y=x+2-----> y=7.062+2-----> y=9.062 ft
the answer is</span>
the length of the base of the rectangular prism is 7.062 ftthe width of the base of the rectangular prism is 9.062 ft<span>
</span>
Answer:
Depends on the domain and the graph.
Step-by-step explanation:
The length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
<h3>How to determine the length</h3>
The cosine rule is given as;

c = length of the diagonal
a = base length = 22 feet
b = 7 feet




feet
Using sine rule


Cross multiply
×
=
× 
×
=
× 

a = 18. 7 feet long
Thus, the length of the diagonal and the shorter base are 17. 24 feet and 18. 7 feet long respectively.
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