Question

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest wholenumberArea of smaller parallelogram = 2012The area of the larger parallelogram isft?(Round to the nearest whole number as needed.)

Answer 1

The formula for determinin the area of a parallelogram is expressed as

area = base x height

For the small parallelogram,

area = 20

base = 4

height = area/base = 20/4

height = 5

If two figures are similar, it means that the ratio of their corresponding sides are equal. Thus, we have

4/16 = 5/h

where h is the height of the big parallelogram. By crossmultiplying, we have

4 * h = 16 * 5

4h = 80

h = 80/4

h = 20

Thus,

Area of big parallelogram = 16 x 20 = 320 ft^2