In given diagram, `A B C D` is a square and semi-circular regions have been added to it by drawing two semi-circles with `A B` and `C D` as diameters. If the total area of the three regions is 350 sq. cm, then the length of the side of the square is equal to (FIGURE) `5sqrt(7)\ c m` (b) `7\ c m` (c) `13\ c m` (d) `14\ c m`

In Fig. 15.112, the area of the shaded region is (FIGURE) (a) 3pi\ c m^2 (b) 6pi\ c m^2 (c) 9pi\ c m^2 (d) 7pi\ c m^2

The sides of a triangle are 11 c m ,\ 15 c m\ a n d\ 16 c mdot\ The altitude to the largest side is 30\ sqrt(7)\ c m (b) (15sqrt(7))/2\ c m (c) (15\ sqrt(7))/4c m\ (d) 30\ c m

The area of a circle is 220\ c m^2 . The area of a square inscribed in it is (a) 49\ c m^2 (b) 70\ c m^2 (c) 140\ c m^2 (d) 150\ c m^2

A B C is a right-angled triangle with right angle at B . If the semi-circle on A B with A B as diameter encloses an area of 81 sq. cm and the semi-circle on B C with B C as diameter encloses an area of 36 sq. cm, then the area of the semi-circle on A C with A C as diameter will be (a) 117 cm2 (b) 121 cm2 (c) 217 cm2 (d) 221 cm2

In the given figure, ABCD is a square of side 14 c m .Semicircles are drawn with each side of square as diameter. Find the area of the all region.

In Fig. 15.98, A B C is a right angled triangle in which /_A=90o , A B=21\ c m and A C=28\ c m . Semi-circles are described on A B ,\ B C and A C as diameters. Find the area of the shaded region. (FIGURE)

The length of the side of a square whose area is four xx the area of a square with side 25m is (a) 12.5m (b) 50m (c) 100m (d) 125m

In the given figure, A B C is a right-angled triangle with B as the right angle. Three semi-circles are drawn with A B , B C and A C as diameters. What is the area of the shaded portion if the area of the triangle A B C is 12 square units? (FIGURE) (a) 6 square units (b) 12 square units (c) 24 square units (d) Cannot be determined as the data is insufficient

A piece of wire of length 12 cm is bent to form a square. The area of the square is 36 c m^2 (b) 144 c m^2 9 c m^2 (d) 12 c m^2

The perimeter of a square and a rectangle are the same. The side in square is 16 m and the length of the rectangle Is 18 m. The width of the rectangle is (A) 14 m (B) 15 m (C) 16 m (D) 17 m