The figure, not drawn to scale, is made up of 2 triangles, WCD and ACD. WX is
12 of AB. YZ is
78 of WX and the difference between AB and YZ is 18 cm. Given that DC = 22 cm, find the area of the entire figure.
WX |
AB |
YZ |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 18 cm
1 u = 18 ÷ 9 = 2 cm
Length of WX
= 8 u
= 8 x 2
= 16 cm
Length of AB
= 16 u
= 16 x 2
= 32 cm
Length of YZ
= 7 u
= 7 x 2
= 14 cm
Area of Triangle WCD
=
12 x 22 x 16
= 176 cm
2 Area of Triangle ADC
=
12 x 22 x 32
= 352 cm
2 Area of Triangle YDC
=
12 x 22 x 14
= 154 cm
2 Area of the figure
= 176 + 352 - 154
= 374 cm
2 Answer(s): 374 cm
2