Respuesta :
Answer:
The correct option is;
She forgot to square the scale factor
Step-by-step explanation:
The parameters given are;
Dimensions of large rectangle;
Base = 30 cm
Height = 25.5
Dimensions of the small rectangle;
Base = b
Height = a
The formula to find the area of scaled dimension (small triangle) is given as follows;
Area of small triangle = (Scale factor)² × Original (or actual) area
Whereby the area, A, of a triangle is given as follows;
[tex]A = \dfrac{1}{2} \times Base \times Height[/tex]
The smaller triangle area, [tex]A_{small}[/tex], should therefore be given as follows;
[tex]A_{small} =\dfrac{1}{2} \times Base \times Height \times (scale \ factor)^2[/tex]
Plugging in the values, we have;
[tex]A_{small} = \left (\dfrac{1}{2} \right )\times (25.5) \times (30)\times \left (\dfrac{1}{5} \right )^2 = 15.3 \ cm^2[/tex]
However, from the question, we have;
(1/2)(25.5)(30)(1/5) = 76.5 cm²
Therefore, the correct option is that she forgot to square the scale factor.
