PSLE A square, not drawn to scale, is made up of four triangles A, B, C and D. The area of A is
110 the area of the square while the area of B is
320 the area of the square.
- The total areas of A and B is 400 cm2. What is the length of each side of the square?
- What fraction of the square is Area of D?
(a)
Fraction of the square made up of Areas A and B
=
110 +
320=
220 +
320 =
520Areas A and B = 5 u
5 u = 400
1 u = 400 ÷ 5 = 80
Area of the square
= 20 u
= 20 x 80
= 1600 cm
2 Length of the square
= √1600
= 40 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 -
110=
510 -
110=
410
= 25
Answer(s): (a) 40 cm; (b) 25