Draw a diagram in the space below for the following situation:
The length and width of rectangle ABCDare integers. The area of ABCDis 32. Diagonal ACis extended to point
Fsuch that Cis the midpoint of AF.
- If the area of ABCDis 32, what is the area of ∆FDB?
- What is the ratio of the area of ∆FCBto the area of ∆FAD?
Questions 3 and 4 pertain to the diagram below, in which P is the center of the semicircle.
- What is the area of the figure above?
- What is the perimeter of the figure above?
- The figure above consists of a rectangle and a curved path which is made up of 10 semicircles of equal
diameter. If the total length of this curved path is 40π, then the area of the rectangle is
(A) 40 (B) 80 (C) 96 (D) 192 (E) 384
Concept Review 5: Areas and Perimeters
P
5
11
10
384 McGRAW-HILL’S SAT