The figure, not drawn to scale, is made up of 2 triangles, WCD and ACD. WX is
12 of AB. YZ is
56 of WX and the difference between AB and YZ is 42 cm. Given that DC = 16 cm, find the area of the entire figure.
WX |
AB |
YZ |
1x6 |
2x6 |
|
6x1 |
|
5x1 |
6 u |
12 u |
5 u |
7 u = 42 cm
1 u = 42 ÷ 7 = 6 cm
Length of WX
= 6 u
= 6 x 6
= 36 cm
Length of AB
= 12 u
= 12 x 6
= 72 cm
Length of YZ
= 5 u
= 5 x 6
= 30 cm
Area of Triangle WCD
=
12 x 16 x 36
= 288 cm
2 Area of Triangle ADC
=
12 x 16 x 72
= 576 cm
2 Area of Triangle YDC
=
12 x 16 x 30
= 240 cm
2 Area of the figure
= 288 + 576 - 240
= 624 cm
2 Answer(s): 624 cm
2