3. The area of a right triangle is 150 square feet, and its hypotenuse is 25 feet. Find the arms of the triangle.
4. The combined capacity of two cubical tanks is 637 cubic feet, and the sum of an edge of one and an edge of the other is 13 feet. (a) Find the length of a diagonal of any face of each cube. (b) Find the distance from upper left-hand corner to lower right-hand corner in either cube.
5. A and B run a mile. In the first heat A gives B a start of 20 yards and beats him by 30 seconds. In the second heat A gives B a start of 32 seconds and beats him by
yards. Find the rate at which each runs. (Sheffield.)
6. After street improvement it is found that a certain corner rectangular lot has lost
of its length and
of its width. Its perimeter has been decreased by 28 feet, and the new area is 3024 square feet. Find the reduced dimensions of the lot. (College Entrance Board.)