The figure, not drawn to scale, is made up of 2 triangles, MTU and RTU. MN is
12 of RS. PQ is
45 of MN and the difference between RS and PQ is 48 cm. Given that UT = 16 cm, find the area of the entire figure.
MN |
RS |
PQ |
1x5 |
2x5 |
|
5x1 |
|
4x1 |
5 u |
10 u |
4 u |
6 u = 48 cm
1 u = 48 ÷ 6 = 8 cm
Length of MN
= 5 u
= 5 x 8
= 40 cm
Length of RS
= 10 u
= 10 x 8
= 80 cm
Length of PQ
= 4 u
= 4 x 8
= 32 cm
Area of Triangle MTU
=
12 x 16 x 40
= 320 cm
2 Area of Triangle RUT
=
12 x 16 x 80
= 640 cm
2 Area of Triangle PUT
=
12 x 16 x 32
= 256 cm
2 Area of the figure
= 320 + 640 - 256
= 704 cm
2 Answer(s): 704 cm
2