The figure, not drawn to scale, is made up of 2 triangles, KRS and PRS. KL is
12 of PQ. MN is
56 of KL and the difference between PQ and MN is 28 cm. Given that SR = 16 cm, find the area of the entire figure.
KL |
PQ |
MN |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 28 cm
1 u = 28 ÷ 7 = 4 cm
Length of KL
= 6 u
= 6 x 4
= 24 cm
Length of PQ
= 12 u
= 12 x 4
= 48 cm
Length of MN
= 5 u
= 5 x 4
= 20 cm
Area of Triangle KRS
=
12 x 16 x 24
= 192 cm
2 Area of Triangle PSR
=
12 x 16 x 48
= 384 cm
2 Area of Triangle MSR
=
12 x 16 x 20
= 160 cm
2 Area of the figure
= 192 + 384 - 160
= 416 cm
2 Answer(s): 416 cm
2