The figure is made up of two squares and a triangle. The ratio of the area of Triangle M to that of Square P is 11 : 1. The ratio of the shaded area to that of the unshaded area is 1 : 3. If the difference between areas of Triangle M and Square N is 377 cm
2, what is the area of Square P?
Area of Triangle M |
Area of Square P |
Shaded area |
Unshaded area |
Total area |
11x4 |
1x4 |
|
|
11x4 |
|
|
1x11 |
3x11 |
4x11 |
44 u |
4 u |
11 u |
33 u |
44 u |
Area of Triangle M = Total area of the figure
Total area is the unchanged total. Make the total area the same.
LCM of 11 and 4 = 44
Area of Square N
= 11 u + 4 u
= 15 u
Difference between the areas of Triangle M and Square N
= 44 u - 15 u
= 29 u
29 u = 377
1 u = 377 ÷ 29 = 13
Area of Square P
= 4 u
= 4 x 13
= 52 cm
2 Answer(s): 52 cm
2