A rectangle with integer side lengths is cut into 12 squares of lengths 2,2,3,3,5,5,7,7,8,8,9,9. What is the perimeter of this rectangle?
A rectangle of perimeter 44 is partitioned into 5 congruent rectangles as indicated in the diagram. What would be the perimeter of each of the congruent rectangle.
A given parallelogram has sides measuring 7 and 9, and both its diagonals have integer lengths. Find the sum of all possible products of the lengths of the diagonals.
A triangle has consecutive side and height lengths for some integer n, as shown in image. What is its perimeter?
A cuboidal block of 8 cm x 12 cm x 20 cm is cut into an exact number of equal cubes. What will be the least possible number of equal cubes?
