Area

ABC26GN4459 · The sides of a triangle are in the ratio of 1/2: 1/3: 1/4. If the perimeter is 52 cm, then the length of the smallest side is · 2005

ABC26GN4460 · The sides of a triangle are consecutive integers. The perimeter of the triangle is 120 cm. Find the length of the greatest side. · 2007

ABC26GN4461 · The area of a triangle is 216 cm2 and its sides are in the ratio 3 : 4 : 5. The perimeter of the triangle is · 2004

ABC26GN4462 · If three sides of a triangle are 6 cm, 8 cm and 10 cm, then the altitude of the triangle, using the largest side as its base, will be

ABC26GN4463 · The sides of a triangle are 3 cm, 4 cm and 5 cm. The area (in cm2) of the triangle formed by joining the mid-points of the sides of this…

ABC26GN4465 · The sides of a triangle are 5 cm, 6 cm, and 7 cm. One more triangle is formed by joining the mid-points of the sides. The perimeter of the…

ABC26GN4467 · The areas of two similar triangles are 12 cm2 and 48 cm2. If the height of the smaller one is 2.1 cm, then the corresponding height of the… · 2006

ABC26GN4468 · A triangle of area 9 y cm2 has been drawn such that its area is equal to the area of an equilateral triangle of side 6 cm. The value of y… · 2007

ABC26GN4469 · The hypotenuse of a right-angled isosceles triangle is 5 cm. The area of the triangle is

ABC26GN4472 · The base and altitude of a right-angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the… · 2007

ABC26GN4473 · If the hypotenuse of a right-angled triangle is 41 cm and the area of the triangle is 180 sq. cm, then the difference between the lengths…

ABC26GN4474 · The perimeter of a right-angled triangle is 60 cm. Its hypotenuse is 26 cm. The area of the triangle is

ABC26GN4475 · If the perimeter of a right-angled isosceles triangle is (4 √(2)+4) cm, the length of the hypotenuse is · 2007

ABC26GN4476 · If the perimeter of an isosceles right triangle is (6+3 √(2)) m, then the area of the triangle is

ABC26GN4478 · In an isosceles triangle, the measure of each of the equal sides is 10 cm and the angle between them is 45°. The area of the triangle is · 2006

ABC26GN4479 · The perimeter of a triangle is 30 cm and its area is 30 cm2. If the largest side measures 13 cm, then what is the length of the smallest…

ABC26GN4480 · If the area of an equilateral triangle is 24 √(3) sq. cm, then its perimeter is

ABC26GN4481 · The altitude of an equilateral triangle of side 2 √(3) cm is · 2008

ABC26GN4482 · The height of an equilateral triangle is 10 cm. Its area is

ABC26GN4483 · The areas of two equilateral triangles are in the ratio 25 : 36. Their altitudes will be in the ratio · 2007

ABC26GN4484 · From a point within an equilateral triangle, perpendiculars drawn to the three sides are 6 cm, 7 cm, and 8 cm respectively. The length of…

ABC26GN4485 · If x is the length of a median of an equilateral triangle, then its area is

ABC26GN4486 · ABCD is a square. E is the mid-point of BC and F is the mid--point of CD. The ratio of the area of triangle AEF to the area of the square… · 2009

ABC26GN4487 · If the area of a square with side a is equal to the area of a triangle with base a, then the altitude of the triangle is

ABC26GN4488 · An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square?

ABC26GN4489 · What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a…

ABC26GN4491 · A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12 √(2) cm, then the area of the triangle is

ABC26GN4493 · If the sides of a triangle be in the ratio 2 : 3 : 4, the ratio of the corresponding altitudes is

ABC26GN4494 · If the side of an equilateral triangle is decreased by 20%, its area is decreased by

ABC26GN4495 · If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area?

ABC26GN4496 · If every side of a triangle is doubled, the area of the new triangle is K times the area of the old one. K is equal to · 2003

ABC26GN4498 · If an angle of a triangle remains unchanged but each of its two including sides is doubled, then by what factor does the area get…

ABC26GN4500 · Four equilateral triangles are described on the four sides of a rectangle with perimeter 12 cm. If the sum of the areas of the four…

ABC26GN4504 · A field in the form of a parallelogram has one side 150 metres and its distance from the opposite side is 80 metres. The cost of watering… · 2006

ABC26GN4505 · Let ABCD be a parallelogram and ABEF be a rectangle with EF lying along the line CD. If AB = 7 cm and BE = 6.5 cm, then the area of the…

ABC26GN4506 · A rectangle and a parallelogram are drawn between the same parallel lines on a common base of 10 cm. If the perimeter of the rectangle is…

ABC26GN4507 · A rectangle and a parallelogram have equal areas. If the sides of the rectangle are 10 m and 12 m and the base of the parallelogram is 20…

ABC26GN4508 · A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long. Then, its area is

ABC26GN4509 · One diagonal of a parallelogram is 70 cm and the perpendicular distance of this diagonal from either of the outlying vertices is 27 cm. The…

ABC26GN4510 · A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is…

ABC26GN4511 · Two equilateral triangles of side 2 √(3) cm are joined to form a quadrilateral. The altitude of the quadrilateral, thus formed, is equal to

ABC26GN4512 · If a parallelogram with area P, a rectangle with area R and a triangle with area T are all constructed on the same base and all have the…

ABC26GN4513 · The area of a rhombus is 150 cm2. The length of one of its diagonals is 10 cm. The length of the other diagonal is

ABC26GN4514 · One of the diagonals of a rhombus is double the other diagonal. Its area is 25 sq. cm. The sum of the diagonals is

ABC26GN4515 · The perimeter of a rhombus is 56 m and its height is 5 m. Its area is

ABC26GN4516 · If the diagonals of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are respectively · 2005

ABC26GN4518 · A diagonal of a rhombus is 6 cm. If its area is 24 cm2 then the length of each side of the rhombus is

ABC26GN4519 · If each side of a rhombus is 20 metres and its shorter diagonal is three-fourths of its longer diagonal, then the area of this rhombus must…

ABC26GN4520 · The length of one diagonal of a rhombus is 80% of the other diagonal. The area of the rhombus is how many times the square of the length of…

ABC26GN4522 · The two parallel sides of a trapezium are 1.5 m and 2.5 m respectively. If the perpendicular distance between them is 6.5 metres, the area…