PSLE A square, not drawn to scale, is made up of four triangles P, Q, R and S. The area of P is
116 the area of the square while the area of Q is
18 the area of the square.
- The total areas of P and Q is 1200 cm2. What is the length of each side of the square?
- What fraction of the square that is Area S?
(a)
Fraction of the square made up of Areas P and Q
=
116 +
18=
116 +
216 =
3163 u = 1200
1 u = 1200 ÷ 3 = 400
Area of the square
= 16 u
= 16 x 400
= 6400 cm
2 Length of the square
= √6400
= 80 cm
(b)
Areas of P and S = Areas of Q and R =
12 of the area of the square
Fraction of the square that is Area S
=
12 -
116=
816 -
116
= 716
Answer(s): (a) 80 cm; (b) 716