The square is divided into 4 parts, W, X, Y and Z. W and X form 1/2 of the square. The area of Y is double of the area of Z, while the ratio of the area of X to the area of W is 1:3. What fraction of the square is the sum of the area of X and Y? Leave the answer(s) in the simplest form.
+129845 Since W and X form 1/2 of the area, then Z and Y form the other half
So
Z + Y = 1/2 and (1/2)Y + Y = 1/2 .....so.....
(3/2)Y = 1/2
Y = (1/2) ( 2/3) = 1/3
And
W + X = 1/2 and 3X + X = 1/2 .....so....
4X = 1/2
X = (1/2) (1/4) = 1/8
So
X + Y = (1/8) + ( 1/3) = 11/24
+237 w + x = 1/2
w + x + y + z = 1
y + z = 1 - (w + x)
y + z = 1 - 1/2
y + z = 1/2
y = 2z
2z + z = 1/2
3z + 1/2
z = 1/6
y + 1/6 = 1/2
y = 1/2 - 1/6
y = 1/3
x/w = 1/3
3x = w
w + x = 1/2
3x + x = 1/2
4x = 1/2
x = 1/8
x + y = 1/8 + 1/3 = 11/24
