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One side of a triangle and a rectangle is the same. The third vertex of the triangle lies on the midpoint of the rectangle side opposite the common side. The rectangle sides are in the ratio 2 : 3 and the common side is the longer side of the rectangle.  What is the sin value of the angle between the common side and the equal side of the triangle?
A circle is cut from a rectangular sheet of breadth 16 cm. The diameter of circle is equal to 1/4th of the Length of the rectangle. The area of a square of side 16 cm is 2/3rd of the area of rectangle.The area of circle cut from rectangle is approximately what percent of area of rectangle?
ABCD is a rectangle and O is point inside the rectangle. Point O joins all four vertices of the rectangle. Which statement(s) is/are wrong? A) Sum of area of △AOB and △DOC is equal to sum of area of △BOC and △AOD B) Sum of area of △AOB and △DOC is half the area of rectangle. C) Sum of area of △BOC and △AOD is half the area of rectangle.
From a square cardboard of side 24 cm, 15 squares of side 4 cm each and 12 squares of side 5 cm each was cut. How many squares of side 1.25 cm can be cut from the remaining cardboard?
If the length of rectangle A is one -half of the length of rectangle B , and the width of rectangle A is one -half of the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
If the length of rectangle A is one-half the length of rectangle B, and the width of rectangle A is one-helf the width of rectangle B, what is the ratio of the area of rectangle A to the are of rectangle B?
Which of the following statements is/are true? A: If the ratio of length and breadth of a rectangle is 4 : 3 and the side of a square is equal to length of the rectangle, then the ratio of the areas of square and rectangle will be 4 : 3. B: From each corner of a rectangular sheet, if four squares of equal side are cut, then perimeter of the rectangular sheet will be decreased. C: The diagonals of a parallelogram can never perpendicular to each other.
If the length of rectangle B and the width of rectangle A is one-half the width of rectangle B, what is the ratio of the area of rectangle A to the area of rectangle B?
The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. The area of the parallelogram with base 15 cm is what percentage of the area of rectangle with length 20 cm? I) The height of the parallelogram is 20% less than the breadth of the rectangle. II) The height of the parallelogram is 60% of the length of the rectangle. III) The area of the rectangle is 66.67% more than the area of the parallelogram.