Question

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

Explanation:

Step1: Divide the figure into rectangles

Divide the given figure into three rectangles.

Step2: Calculate the area of each rectangle

• For the top rectangle: length = \(5\) cm, width = \(2\) cm. Area \(A_1=5\times2 = 10\) \(cm^2\).
• For the middle rectangle: length = \(5\) cm, width = \(2\) cm. Area \(A_2 = 5\times2=10\) \(cm^2\).
• For the bottom rectangle: length = \(5\) cm, width = \(2\) cm. Area \(A_3=5\times2 = 10\) \(cm^2\).
• For the large rectangle on the right: length = \(9\) cm, width = \(5\) cm. Area \(A_4=9\times5=45\) \(cm^2\).

Step3: Sum up the areas

Total area \(A=A_1 + A_2+A_3+A_4=10 + 10+10 + 45=75\) \(cm^2\).

Answer:

\(75\) \(cm^2\)