Question

directions: study the information and figure, read the question, and choose the best answer. karen and bill poured cement to make the patio shown in the diagram. 5. what is the area of karen and bills patio in square feet? a. 160 b. 100 c. 80 d. 30 directions: study the figures, read the question, and choose the best answer. 6. two identical circular patterns were observed in the middle of a cornfield. if the radius of one circle is 5 m, what is the total area of both circles, measured to the nearest square meter? a. 10 b. 31 c. 79 d. 157

Explanation:

Step1: Calculate the area of the first rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the first rectangle with length \(16\) ft and width \(5\) ft, \(A_1=16\times5 = 80\) square feet.

Step2: Calculate the area of the second rectangle

The second rectangle has length \(6\) ft and width \((10 - 5)=5\) ft. Using the area formula \(A = l\times w\), \(A_2 = 6\times5=30\) square feet.

Step3: Calculate the area of the third rectangle

The third rectangle has length \((16 - 6)=10\) ft and width \(5\) ft. Using the area formula \(A = l\times w\), \(A_3=10\times5 = 50\) square feet.

Step4: Calculate the total area

The total area \(A=A_1 + A_2+A_3\). Substitute the values: \(A=80 + 30+50=160\) square feet.

Answer:

A. 160