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 whole number.Area of smaller parallelogram=6ft^2

Answer 1

Answer:

The area of the bigger parallelogram = 96 ft²

Step-by-step explanation:

Area of a parallelogram = Base x Height

Area of smaller parallelogram = 6 ft²

Base of the smaller parallelogram = 3 ft

Area of the smaller parallelogram = Base of the smaller parallelogram x Height of the smaller parallelogram

6 = 3 x Height

Height = 6/3

Height, h = 2 ft

Height of the smaller parallelogram, h = 2 ft

Let the height of the bigger parallelogram be H

Let the Base of the bigger parallelogram be B = 12 ft

Let the height of the smaller parallelogram be h

Let the Base of the smaller parallelogram be b

Since the two parallelogram are similar:

H/h = B/b

H/2 = 12/3

H/2 = 4

H = 2(4)

H = 8 ft

The height of the bigger parallelogram, H = 8 ft

The area of the bigger parallelogram = 12 x 8

The area of the bigger parallelogram = 96 ft²