ABCD is a square of side a. A line parallel to the diagonal BD at a distance x from the vertex A cuts the two adjacent sides. Express the area of the segment of the square with A at a vertex, as a function of x.

ABCD is a square of side 6cm. Find the area of the shaded region bounded between square and the two quadrants

Area of square in terms of side and diagonal

The side of an equilateral triangle is equal to the diagonal of the square. If the side of the square is 12 cm, then what is the area of the equilateral triangle?

ABCD is a square of side L . A very long straight conductor carrying a current i passes through the vertex A of the square and is perpendicular to its plane. The minimum magnetic induction at a vertex of the square is

In the figure,ABCD is a square with side x as shown. A parallelogram ABPC is drawn on the side AB as shown. Find the ratio of the area of square to the area of the parallelogram.

A system consists of two identical dipoles placed along the sides of a square ABCD in such a way that +q and +q lie at the corner A and C and -q and -q at the corner B . Calculate the potential due to the system on the diagonal BD at a distance r from the intersection of the diagonals of the square . The length of each diagonal is 2a .

If one side of a square is represented by 18x – 20 and the adjacent side is represented by 42 – 13x , find the length of the side of the square .