Find the dimensions of a rectangle whose area is 247 cm2 and whose perimeter is 64 cm

The base of a triangle is one-half as long as its height. If the area of the triangle is 196 square yards, find its height.

The oriental rug shown is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet find its dimensions to the nearest tenth of a foot.

The height of an object thrown upward with an initial velocity of 96 feet per second is given by the formula h = −16t2 + 96t, where t is the time in seconds. How long will it take the object to reach a height of 144 feet?