The figure, not drawn to scale, is made up of 2 triangles, WCD and ACD. WX is
12 of AB. YZ is
67 of WX and the difference between AB and YZ is 56 cm. Given that DC = 19 cm, find the area of the entire figure.
WX |
AB |
YZ |
1x7 |
2x7 |
|
7x1 |
|
6x1 |
7 u |
14 u |
6 u |
8 u = 56 cm
1 u = 56 ÷ 8 = 7 cm
Length of WX
= 7 u
= 7 x 7
= 49 cm
Length of AB
= 14 u
= 14 x 7
= 98 cm
Length of YZ
= 6 u
= 6 x 7
= 42 cm
Area of Triangle WCD
=
12 x 19 x 49
= 465.5 cm
2 Area of Triangle ADC
=
12 x 19 x 98
= 931 cm
2 Area of Triangle YDC
=
12 x 19 x 42
= 399 cm
2 Area of the figure
= 465.5 + 931 - 399
= 997.5 cm
2 Answer(s): 997.5 cm
2