PSLE A square, not drawn to scale, is made up of four triangles M, N, P and Q. The area of M is
116 the area of the square while the area of N is
18 the area of the square.
- The total areas of M and N is 1875 cm2. What is the length of each side of the square?
- What fraction of the square that is Area Q?
(a)
Fraction of the square made up of Areas M and N
=
116 +
18=
116 +
216 =
3163 u = 1875
1 u = 1875 ÷ 3 = 625
Area of the square
= 16 u
= 16 x 625
= 10000 cm
2 Length of the square
= √10000
= 100 cm
(b)
Areas of M and Q = Areas of N and P =
12 of the area of the square
Fraction of the square that is Area Q
=
12 -
116=
816 -
116
= 716
Answer(s): (a) 100 cm; (b) 716