Rectangle P QRS and 4P QT overlap so that R lies on QT, and RS intersects P T at U, as shown. The area of rectangle P QRS is 108 cm2, and the area of 4P QT is 81 cm2. If the area of the figure P QT US is 117 cm2, determine the area of the overlapped region, P QRU.

Largest Area A rectangle is to be inscribed in a semicircle of radius 5 cm as shown in the following figure.

(a) Show that the area of the rectangle is modeled by the function 

(b) Find the largest possible area for such an inscribed rectangle. [ Hint: Use the fact that sin u achieves its maximum value at ].

(c) Find the dimensions of the inscribed rectangle with the largest possible area.  

a. Find the perimeter of the rectangle shown below.

b. Find the area of the rectangle shown below.

The length of a rectangle is 100 % longer than its width. Given the area of the rectangle is 98, find the width of the rectangle.