The figure, not drawn to scale, is made up of 2 triangles, NUV and SUV. NP is
12 of ST. QR is
78 of NP and the difference between ST and QR is 36 cm. Given that VU = 22 cm, find the area of the entire figure.
NP |
ST |
QR |
1x8 |
2x8 |
|
8x1 |
|
7x1 |
8 u |
16 u |
7 u |
9 u = 36 cm
1 u = 36 ÷ 9 = 4 cm
Length of NP
= 8 u
= 8 x 4
= 32 cm
Length of ST
= 16 u
= 16 x 4
= 64 cm
Length of QR
= 7 u
= 7 x 4
= 28 cm
Area of Triangle NUV
=
12 x 22 x 32
= 352 cm
2 Area of Triangle SVU
=
12 x 22 x 64
= 704 cm
2 Area of Triangle QVU
=
12 x 22 x 28
= 308 cm
2 Area of the figure
= 352 + 704 - 308
= 748 cm
2 Answer(s): 748 cm
2