The scale factor of the larger triangle to the smaller = 6/4 = 3/2
The area of the larger triangle =
(Area of smaller triangle ) * (scale factor)^2 =
20 * (3/2)^2 =
20 * 9/4 =
(20/4) * 9 =
5 * 9 =
45 cm^2
6cm/4cm=1.5
1.5²=2.25
20cm²*2.25=45cm²