Question

4.5 finding composite perimeter and area
you work for a transportation engineer redesigning the parking lot at a small shopping center. the dimensions of the lot are shown below. what is the area of the parking lot?
the area of the parking lot is meters²

Explanation:

Step1: Divide the shape into rectangles

We can divide the parking - lot into two rectangles. One rectangle has dimensions 100 meters by 80 meters and the other has dimensions (140 - 100) = 40 meters by (80 - 40)=40 meters.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l_1 = 100$ meters and width $w_1 = 80$ meters, $A_1=l_1\times w_1=100\times80 = 8000$ square meters.

Step3: Calculate the area of the second rectangle

For the second rectangle with length $l_2=(140 - 100)=40$ meters and width $w_2=(80 - 40)=40$ meters, $A_2=l_2\times w_2=40\times40 = 1600$ square meters.

Step4: Calculate the total area

The total area of the parking - lot $A = A_1+A_2$. So, $A=8000 + 1600=9600$ square meters.

Answer:

9600