First, calculate the scale factor of the two similar triangles.
Scale Factor = Larger Triangle Side / Smaller Triangle Side
Scale Factor = 28ft / 20ft
Scale Factor = 1.4
Next, to find the area of the smaller triangle, square the scale factor and multiply by the area of the larger triangle.
Area of Smaller Triangle = (Scale Factor)^2 x Area of Larger Triangle
Area of Smaller Triangle = 1.4^2 x 135ft2
Area of Smaller Triangle = 1.96 x 135ft2
Area of Smaller Triangle ≈ 264 ft2
Therefore, the area of the smaller triangle is approximately 264ft2.
The pair of figures to the right are similar. The area of one figure is given . Find the area of the other figure to the nearest whole number
Area of larger triangle =135ft2
28ft
20ft
1 answer