A rectangular metal sheet is of length 24 cm and breadth 18 cm. From each of its corners a square of side x cm is cut off, and an open box is made of the remaining sheet. If the volume of the box is 640 cubic cm, then what is the value of x ?

A triangle has side lengths x cm, x + 31 cm and x + 26 cm. If its area is 126 square cm, then what is the value of x ?

The length of a diagonal of a cuboid is 11 cm. 63. The surface area is 240 square cm. What is the sum of its length, breadth and height ?

Two rectangles are of same area equal to 480 square cm. They differ in lengths by 6 cm and breadths by 4 cm. What is the difference in their perimeters?

A square and a rectangle have same perimeter. They differ in areas by 1 square cm. The length of the rectangle exceeds its breadth by

The length of a rectangle is 1 cm more than its width and its perimeter is 14 cm, then the area of the rectangle is