Answer:
Step-by-step explanation:
Perimeter is the sum of lengths of triangles. Hence it's unit in
c
m
. Area has unit
c
m
2
i.e., length squared. So if measurements are in the ratio
3
:
4
, areas are in the ratio
3
2
:
4
2
or
9
:
16
. This is because the two triangles are similar.
A total area is
75
square centimeters, we need to divide it by the ratio
9
:
16
Of which first will be the area of the smaller triangle.
Hence the area of the smaller triangle is
75
×
9
9
+
16
=
75
×
9
25
=
75
3
×
9
25
1
=
27
square centimeters
The area of larger triangle would be
75
×
16
9
+
16
=
3
×
16
=
48
square centimeters
