PSLE A square, not drawn to scale, is made up of four triangles Q, R, S and T. The area of Q is
110 the area of the square while the area of R is
15 the area of the square.
- The total areas of Q and R is 1470 cm2. What is the length of each side of the square?
- What fraction of the square is Area of T?
(a)
Fraction of the square made up of Areas Q and R
=
110 +
15=
110 +
210 =
310Areas Q and R = 3 u
3 u = 1470
1 u = 1470 ÷ 3 = 490
Area of the square
= 10 u
= 10 x 490
= 4900 cm
2 Length of the square
= √4900
= 70 cm
(b)
Areas of Q and T = Areas of R and S =
12 of the area of the square
Fraction of the square that is Area T
=
12 -
110=
510 -
110=
410
= 25
Answer(s): (a) 70 cm; (b) 25