PSLE A square, not drawn to scale, is made up of four triangles E, F, G and H. The area of E is
19 the area of the square while the area of F is
16 the area of the square.
- The total areas of E and F is 1000 cm2. What is the length of each side of the square?
- What fraction of the square that is Area H?
(a)
Fraction of the square made up of Areas E and F
=
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 E and H = Areas of F and G =
12 of the area of the square
Fraction of the square that is Area H
=
12 -
19=
918 -
218
= 718
Answer(s): (a) 60 cm; (b) 718