PSLE A square, not drawn to scale, is made up of four triangles T, U, V and W. The area of T is
110 the area of the square while the area of U is
320 the area of the square.
- The total areas of T and U is 1225 cm2. What is the length of each side of the square?
- What fraction of the square is Area of W?
(a)
Fraction of the square made up of Areas T and U
=
110 +
320=
220 +
320 =
520Areas T and U = 5 u
5 u = 1225
1 u = 1225 ÷ 5 = 245
Area of the square
= 20 u
= 20 x 245
= 4900 cm
2 Length of the square
= √4900
= 70 cm
(b)
Areas of T and W = Areas of U and V =
12 of the area of the square
Fraction of the square that is Area W
=
12 -
110=
510 -
110=
410
= 25
Answer(s): (a) 70 cm; (b) 25