SOLUTION: 1.) A tent opening is triangular in shape. The area of the opening is 12 square feet and the height is 48". What is the width of the bottom inches? Next,.... 2.) A tent opening

Algebra ->  Triangles -> SOLUTION: 1.) A tent opening is triangular in shape. The area of the opening is 12 square feet and the height is 48". What is the width of the bottom inches? Next,.... 2.) A tent opening       Log On


   



Question 83091: 1.) A tent opening is triangular in shape. The area of the opening is 12 square feet and the height is 48". What is the width of the bottom inches?
Next,.... 2.) A tent opening is triangular in shape. The area of the opening is 12 square feet and the bottom is 6 ft. What is the height of the opening in inches?
I really need help figuring out how to work these problems. Thanks.

Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
We know that the area of any triangle ]is given by :

A = %281%2F2%29+%2A+b+%2A+h+ Where A = Area, b = base of the triangle, h = height of the triangle


According to the given data, Area = 12 sq ft, height = 48 ft


so, substituting in the formula, we get:

12 = %281%2F2%29%2A+b+%2A+48+

==> 12 = b * 24

==> %2812%2F24%29+=+b+

==> %281%2F2%29+=+b

==> Therfore, the width of the bottom is 1/2 "

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Given area = 12 sq ft and the width of the bottom is 6 ft, to find the height of the triangle

Area = %281%2F2%29 * b * h

Substituting for the values, we get:

12 = %281%2F2%29 * 6 * h

==> 12 = 3 * h

==> 12%2F3 = h

==> 4 = h

Hence, the height of the opening is 4 ft.


Thus, the solution..

HAPPY CALCULATING!!