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 l . A line parallel to the diagonal BD at a distance 'x' from the vertex A cuts two adjacent sides. Express the area of the segment of the square with A at a vertex, as a function of x. Find this area at x=1//sqrt(2) and at x=2 , when l=2 .

In the figure, ABCD is a quadrilateral. A line DP drawn parallel to diagonal AC from point D, meet BC produced at P. Prove that: are of Delta ABP = " area of " square ABCD

Prove that in any parallelogram the sum of squares of the diagonals is twice the sum of the squares of two adjascent sides. Also show that the difference of the squares on two adjacent sides is equal to the rectangle contained by either diagonal and the projection of the other upon it.

D is the distance from vertex F to vertex G. The base is square, and the height is twice the width. What is the volume of the solid in terms of d ?

If one vertex of a square whose diagonals intersect at the origin is 3(costheta+isintheta) , then find the two adjacent vertices.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

Figure, ABCD is a square of side 2a. Find the ratio between the circumferences and the areas of the incircle and the circum-circle of the square.

If one diagonal of a square is along the line x=2y and one of its vertex is (3,0) , then its sides through the vertex are given by the equations -