If g(x) = 3x - 3, find x if g(x) = 12
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The perimeter of a triangle is the sum of all side lengths of the triangle. The numerical expression for the perimeter of Stephanie's triangle is:
Let the sides of Juan's triangle be x, y and z. So:
The perimeter (J) of Juan's triangle is calculated by adding all sides.
So:
This gives:
From the question, we understand that:
The perimeter (S) of Stephanie's triangle is half that of Juan.
This means that:
Substitute 25 for J
Hence, the numerical expression for the perimeter of Stephanie's triangle is:
Read more about perimeters at:
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
