the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following…

the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following (in square units). the dark rectangle (on the top): the light 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:

the following figure is a rectangle made up of two smaller rectangles. (a) find the area of the following (in square units). the dark rectangle (on the top): the light 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:

Answer

Explanation:

Step1: Recall area formula for rectangle

The area formula for a rectangle is $A = l\times w$, where $l$ is the length and $w$ is the width.

Step2: Find area of dark - top rectangle

For the dark rectangle on the top, length $l = 9$ and width $w = 2$. So, $A_{1}=9\times2 = 18$.

Step3: Find area of light - bottom rectangle

For the light rectangle on the bottom, length $l = 9$ and width $w = 3$. So, $A_{2}=9\times3=27$.

Step4: Find area as sum of two areas

The area of the entire figure as a sum of two areas is $A = A_{1}+A_{2}=18 + 27=45$.

Step5: Find area as product of length and width

The length of the entire rectangle is $l = 9$ and the width is $w=2 + 3=5$. So, $A=9\times(2 + 3)=9\times5 = 45$.

Answer:

(a) The dark rectangle (on the top): 18 The light rectangle (on the bottom): 27 (b) As a sum of two areas: 45 As a product of the length and width: 45