The figure, not drawn to scale, is made up of 2 triangles, PVW and TVW. PQ is
12 of TU. RS is
78 of PQ and the difference between TU and RS is 72 cm. Given that WV = 21 cm, find the area of the entire figure.
PQ |
TU |
RS |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 72 cm
1 u = 72 ÷ 9 = 8 cm
Length of PQ
= 8 u
= 8 x 8
= 64 cm
Length of TU
= 16 u
= 16 x 8
= 128 cm
Length of RS
= 7 u
= 7 x 8
= 56 cm
Area of Triangle PVW
=
12 x 21 x 64
= 672 cm
2 Area of Triangle TWV
=
12 x 21 x 128
= 1344 cm
2 Area of Triangle RWV
=
12 x 21 x 56
= 588 cm
2 Area of the figure
= 672 + 1344 - 588
= 1428 cm
2 Answer(s): 1428 cm
2