A square is in the first quadrant, as shown, with its sides extending to points on the x-axis of (3, 0), (5, 0), (7, 0) and (13, 0). What is the area of the square?
Trapezoid as shown has two parallel sides with length 5 and 15 & two diagonals with length 12 and 16. What is its area?
A right triangle has a semicircles with radii of 3 and 4 on its legs, as shown. The semicircles intersect along the hypotenuse. What is the shaded area?
A five pointed star is made by extending sides of a regular pentagon. What fraction of star on right is shaded yellow?
A triangle with sides AB = 3, BC = 4, and AC = 5 has an inscribed square PQRS with side QR along the side AC. What is the area of the square?
ABCD is a square of side length 1.
If EFGH are the points on its boundary such that AE=EB, 2BF=FC, 3CG=GD & 4DH=HA then what is the area of the quadrilateral EFGH?
