The square is divided into 4 parts, Q, R, S and T. Q and R form
12 of the square. The area of T is double of the area of S, while the ratio of the area of R to the area of Q is 1 : 6. What fraction of the square is the sum of the area of T and Q? Leave your answer in the simplest form.
T |
S |
R |
Q |
S + T |
R + Q |
2x7 |
1x7 |
|
|
3x7 |
|
|
|
6x3 |
1x3 |
|
7x3 |
14 u |
7 u |
18 u |
3 u |
21 u |
21 u |
Since Q and R form
12 of the square, the sum of the areas of Q and R is the same as the sum of the areas of S and T.
Sum of T and Q
= 14 u + 3 u
= 17 u
Area of the square
= 14 u + 7 u + 18 u + 3 u
= 42 u
Fraction of the sum of the areas of T and Q to the whole square =
1742 Answer(s):
1742