PSLE A square, not drawn to scale, is made up of four triangles W, X, Y and Z. The area of W is
116 the area of the square while the area of X is
18 the area of the square.
- The total areas of W and X is 675 cm2. What is the length of each side of the square?
- What fraction of the square that is Area Z?
(a)
Fraction of the square made up of Areas W and X
=
116 +
18=
116 +
216 =
3163 u = 675
1 u = 675 ÷ 3 = 225
Area of the square
= 16 u
= 16 x 225
= 3600 cm
2 Length of the square
= √3600
= 60 cm
(b)
Areas of W and Z = Areas of X and Y =
12 of the area of the square
Fraction of the square that is Area Z
=
12 -
116=
816 -
116
= 716
Answer(s): (a) 60 cm; (b) 716