The figure, not drawn to scale, is made up of 2 triangles, QWX and UWX. QR is
12 of UV. ST is
78 of QR and the difference between UV and ST is 27 cm. Given that XW = 20 cm, find the area of the entire figure.
QR |
UV |
ST |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 27 cm
1 u = 27 ÷ 9 = 3 cm
Length of QR
= 8 u
= 8 x 3
= 24 cm
Length of UV
= 16 u
= 16 x 3
= 48 cm
Length of ST
= 7 u
= 7 x 3
= 21 cm
Area of Triangle QWX
=
12 x 20 x 24
= 240 cm
2 Area of Triangle UXW
=
12 x 20 x 48
= 480 cm
2 Area of Triangle SXW
=
12 x 20 x 21
= 210 cm
2 Area of the figure
= 240 + 480 - 210
= 510 cm
2 Answer(s): 510 cm
2