Question

the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following (in square units). the light rectangle (on the top): the dark rectangle (on the bottom): (b) give the area of the entire figure (in square units) in two different ways. as a sum of two areas: as a product of the length and width:

Explanation:

Step1: Find top - rectangle area

Area = length×width = 3×5 = 15

Step2: Find bottom - rectangle area

Area = length×width = 3×x = 3x

Step3: Find total area as sum

Sum of areas = 15 + 3x

Step4: Find total area as product

Total length = 5 + x, width = 3, so area = 3(5 + x)

Answer:

The light rectangle (on the top): 15
The dark rectangle (on the bottom): 3x
As a sum of two areas: 15 + 3x
As a product of the length and width: 3(5 + x)