MATH SOLVE

4 months ago

Q:
# 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.PLEASE DO THE WORK AND SHOW ME!!!!!Please answer, and I'll ask this and I'll do the question again, and I'll do the same points.Please thankyouNo jokes!!!!!!!!!

Accepted Solution

A:

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. 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

y-------> the width of the base of the rectangular prism

we know that

volume of the prism=area of the base*height

volume=48 ft³

height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²

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=x²+2x------> x²+2x-64=0

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

the length of the base of the rectangular prism is 7.062 ft

the width of the base of the rectangular prism is 9.062 ft

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. 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

y-------> the width of the base of the rectangular prism

we know that

volume of the prism=area of the base*height

volume=48 ft³

height of the prism=3/4 ft

area of the base=volume/height--------> 48/(3/4)---> 48*4/3----> 64 ft²

area of the base=64 ft²

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=x²+2x------> x²+2x-64=0

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

the length of the base of the rectangular prism is 7.062 ft

the width of the base of the rectangular prism is 9.062 ft