Suppose is an isosceles trapezoid with bases and and sides and such that Also suppose that and that the altitude of the trapezoid is equal to
If where and are positive coprime integers, then find
The numbers and denote the areas enclosed by their respective triangles.
What is the area of the yellow region?
On square , points , and lie on sides and respectively, so that and . Segments and intersect at a point , and the areas of the quadrilaterals and are in the ratio Find the area of square .
I want to make a litter box for my newly adopted pet kitten Admiral. The box is a cuboid with the top removed. I want the volume of the box to be 32 but the surface area to be minimized.
What is the minimum internal surface area I can achieve?
is a parallelogram. Point on divides it in the ratio , and point on divides it in the ratio . Let be the intersection of and . Then, , where and are positive coprime integers. What is ?