PSLE A square, not drawn to scale, is made up of four triangles W, X, Y and Z. The area of W is
110 the area of the square while the area of X is
15 the area of the square.
- The total areas of W and X is 3630 cm2. What is the length of each side of the square?
- What fraction of the square is Area of Z?
(a)
Fraction of the square made up of Areas W and X
=
110 +
15=
110 +
210 =
310Areas W and X = 3 u
3 u = 3630
1 u = 3630 ÷ 3 = 1210
Area of the square
= 10 u
= 10 x 1210
= 12100 cm
2 Length of the square
= √12100
= 110 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 -
110=
510 -
110=
410
= 25
Answer(s): (a) 110 cm; (b) 25