Natasha's dorm room is shaped like a triangle. The college brochure says it has an area of 875 square feet. The room is 35 feet long. Determine the width of the room at it's widest point.
formula for the area of a triangle
A=1/2 bh
b(base)=width
h(height)=length
given
A=875 ft^2
h=35 ft
b/width=?
solution:
875 ft^2=1/2 b(35)
b=875^2÷50
b=50 ft
The width of the room is 50 feet.
We have a triangle shaped dorm room with the following specifications -
Area = 875 square feet
height = 35 feet
We have to calculate the height of this dorm.
The formula to calculate the area of triangle is -
A = \(\frac{1}{2} \times b\times h\)
We can solve the problem given to us using the above formula -
Substituting the values in the formula above -
b = \(\frac{2A}{h}\)
b = \(\frac{2\times875}{35}\)
b = 50 feet.
Hence, the width of the room is 50 feet.
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