A triangle has side lengths of 15, 20, and 25. Cut off each corner by a straight line segment with endpoints 5 units from the nearest vertex (leaving lengths of 5, 10, and 15 on the sides). What is the area of the resulting hexagon, as shown below?
A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?
A rectangle is divided by four lines, as shown, with 4 of the resulting triangles having known areas. Find the area of the quadrilateral that is shaded in grey.
Three rectangles are in a row, as shown below. The first and second rectangles have a combined width equal to 7 m. The second and third have a combined width equal to 8 m. If the first rectangle has an area equal to 20 m2 and the third has an area equal to 25 m2, what is the area of the second rectangle?
A rectangle measures 17 units by 26 units and contains 7 squares, as shown below. What is the area of a single square?
Quadrilateral ABCD has AD = BC, ∠A + ∠B = 90°, AB = 20, CD = 10, as shown below.
What is the area of ABCD?
