Question

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

Explanation:

Step1: Calculate the area of the left rectangle

The left rectangle has length \(4 + 2+4=10\)m and width \(2\)m. Using the formula for the area of a rectangle \(A = l\times w\), we get \(A_1=2\times10 = 20\) \(m^2\).

Step2: Calculate the area of the right rectangle

The right rectangle has length \(4 + 2+4=10\)m and width \(5 - 2=3\)m. Using the formula \(A = l\times w\), we get \(A_2=10\times3=30\) \(m^2\).

Step3: Sum up the areas

The total area \(A=A_1 + A_2\). So \(A=20 + 30=50\) \(m^2\).

Answer:

\(50\)