Question

geometry, measurement, data analysis area of a piece - wise rectangular figure find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into rectangles

We can divide the given piece - wise rectangular figure into two rectangles. One rectangle has dimensions \(14\times5\) and the other has dimensions \(4\times3\).

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 \(l = 14\) yd and width \(w = 5\) yd, \(A_1=14\times5 = 70\) \(yd^2\).

Step3: Calculate the area of the second rectangle

For the second rectangle with length \(l = 4\) yd and width \(w = 3\) yd, \(A_2 = 4\times3=12\) \(yd^2\).

Step4: Calculate the total area

The total area \(A\) of the figure is the sum of the areas of the two rectangles. \(A=A_1 + A_2=70 + 12=82\) \(yd^2\).

Answer:

82