PSLE A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is
19 the area of the square while the area of B is
16 the area of the square.
- The total areas of A and B is 1000 cm2. What is the length of each side of the square?
- What fraction of the square that is Area D?
(a)
Fraction of the square made up of Areas A and B
=
19 +
16=
218 +
318 =
5185 u = 1000
1 u = 1000 ÷ 5 = 200
Area of the square
= 18 u
= 18 x 200
= 3600 cm
2 Length of the square
= √3600
= 60 cm
(b)
Areas of A and D = Areas of B and C =
12 of the area of the square
Fraction of the square that is Area D
=
12 -
19=
918 -
218
= 718
Answer(s): (a) 60 cm; (b) 718