The figure is made up of two squares and a triangle. The ratio of the area of Triangle C to that of Square E 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 C and Square D is 551 cm
2, what is the area of Square E?
Area of Triangle C |
Area of Square E |
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 C = 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 D
= 7 u + 6 u
= 13 u
Difference between the areas of Triangle C and Square D
= 42 u - 13 u
= 29 u
29 u = 551
1 u = 551 ÷ 29 = 19
Area of Square E
= 6 u
= 6 x 19
= 114 cm
2 Answer(s): 114 cm
2