The figure is made up of two squares and a triangle. The ratio of the area of Triangle T to that of Square V is 7 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 5. If the difference between areas of Triangle T and Square U is 464 cm
2, what is the area of Square V?
Area of
Triangle T |
Area of
Square V |
Shaded
area |
Unshaded
area |
Total
area |
| 7x6 |
1x6 |
|
|
7x6 |
| |
|
1x7 |
5x7 |
6x7 |
| 42 u |
6 u |
7 u |
35 u |
42 u |
Area of Triangle T = Total area of the figure
Total area is the unchanged total. Make the total area the same.
LCM of 7 and 6 = 42
Area of Square U
= 7 u + 6 u
= 13 u
Difference between the areas of Triangle T and Square U
= 42 u - 13 u
= 29 u
29 u = 464
1 u = 464 ÷ 29 = 16
Area of Square V
= 6 u
= 6 x 16
= 96 cm
2 Answer(s): 96 cm
2 
