In the given figure, the side of the square is 10 cm. EF = 2.5 cm and

1.	In the given figure, the side of the square is 10 cm. EF = 2.5 cm and C and D are half way between the top and bottom sides of the figure. The area of the shaded portion of the figure is(a) 43.75 cm2 (b) 56.25 cm2 (c) 55.25 cm2 (d) 50.25 cm2
Answer» (a) 43.75 cm² Area of the shaded part = Area of rectangle CDEF + Area of trapezium ABCD = 2.5 cm x 5 cm + \(\frac12\) x (2.5 cm + 10 cm) x 5 cm = 12.5 cm² + 31.25 cm² = 43.75 cm².

In the given figure, the side of the square is 10 cm. EF = 2.5 cm and C and D are half way between the top and bottom sides of the figure. The area of the shaded portion of the figure is(a) 43.75 cm2 (b) 56.25 cm2 (c) 55.25 cm2 (d) 50.25 cm2

Answer»

(a) 43.75 cm²

Area of the shaded part = Area of rectangle CDEF + Area of trapezium ABCD

= 2.5 cm x 5 cm + \(\frac12\) x (2.5 cm + 10 cm) x 5 cm

= 12.5 cm² + 31.25 cm² = 43.75 cm².