A triangle CEF is drawn inside a square ABCD as shown in the figure given below. Given: CF = 8 cm, EF = 6 cm and CE = 10 cm.


What is tan α + tan β equal to?

If the perimeter of the square is 64 cm, find the length of the side of the square.

If the side length of a square increases from 5 cm to 7 cm, find the percentage increasein its area.

The perimeter of a square is 14 cm. If each side of the square is increased by x cm, its area increases by 120 cm². What is the value of x?

In a square land of 200 m × 200 m size, saplings are to be planted such that the distance between the saplings as well as the distance of saplings from the boundary of the land are not less than 20 m. What is the maximum number of saplings that can be planted in the land?

A floor of size 13 X 24 is to be paved using square tiles only. What is the smallest number oftiles needed to do this?

ABCD is a square with sides of 1 unit. AC and BD are arcs of circles with their centers at B and A. respectively. The area of the shaded sector AED is

The perimeter of one square is 52 metre and that of another is 20 metre. What is the perimeter of the square whose area is equal to the difference of the areas of the two squares?