Mensuration Test 6

The perimeter of a right angle triangle is 60 cm. If the first side is 2 cm greater than the second side and the third side is 2 cm less than half of the second side, then find the area of the right angle triangle.

 The perimeter of a rhombus is 104 m and its area is 480 m². Find the ratio of the lengths of its diagonals.

 The perimeter of a trapezium shaped ground is 5.2 km. The non - parallel sides and one of the parallel sides are of length 1 km each. Find the area of the ground.

The perimeter of two parallelograms A and B is 26 cm and 44 cm respectively and length of altitudes are 4 cm and 6 cm respectively. The smaller side of B is twice of the smaller side of A and the base of B is 4 cm greater than the base of A. Then the difference in their areas is

A square with diagonal of 12 cm is cut from all sides by 1 cm width. Find the diagonal of the new square.

Manapa decided to construct 15 m wide road around a circular skating track which is having a circumference of 242 m. Find the area of that road.

Calculate the area of an isosceles triangle whose length of equal sides is 15 cm and the base is 24 cm.

Directions: Given below are two quantities named A & B. Based on the given informationyou have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: ABC is right angled triangle with angle B as right angle and AB = 25 cm, BC = 60 cm. If G is the centroid of the triangle then find the value of BG.Quantity B : BC is a chord to the circle and OD is the radius of the circle in such a way that they meet at point A outside the circle. If BC = 20 cm, AB = 16 cm & OA = 40 cm then find the radius of the circle.

 In a parallelogram, the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively. Find its area.

 The length, breadth and height of an open box is 60 cm, 50 cm and 30 cm respectively. Its thickness is 5 cm. What would be the cost of the box if 1 cm³ of wood costs Rs. 0.08?

The perimeter of a rectangle and equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is:

The volume of the largest cylinder formed, when a rectangular sheet of aluminum of size 22 cm × 14 cm is rolled along its larger side, is

A right circular cone with base radius 10 cm has a volume of 770 cubic cm. Having the same area as the curved surface area of this cone, a square is drawn. What will be the side length of this square? (Take π = 22/7)

 A hemisphere, a cylinder and a cone stand on the same base and 45% of height of hemisphere is equal to one - fourth of 180% of height of cylinder and height of cone is one - fourth of sum of 224% of height of hemisphere and 176% of height of cylinder. The ratio of the areas of their curved surface is

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder.