Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into two rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions \(5\times(7 - 4)\) and the other has dimensions \(9\times4\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is given by \(A = l\times w\). For the first rectangle with \(l = 5\) and \(w=7 - 4=3\), the area \(A_1=5\times3 = 15\space m^{2}\).

Step3: Calculate the area of the second rectangle

For the second rectangle with \(l = 9\) and \(w = 4\), the area \(A_2=9\times4=36\space m^{2}\).

Step4: Sum up the areas of the two rectangles

The total area \(A=A_1 + A_2\). So \(A=15+36\).

Answer:

\(51\space m^{2}\)