Question

find the perimeter and area of the figure pictured below. 2.5 m 11.8 m 4.4 m 11.1 m perimeter = 45.8 m area = m²

Explanation:

Step1: Divide the figure into rectangles

We can divide the L - shaped figure into two rectangles. One rectangle has dimensions \(11.8\ m\times2.5\ m\) and the other has dimensions \((11.1 - 2.5)\ m\times4.4\ m=8.6\ m\times4.4\ m\).

Step2: Calculate the area of the first rectangle

The area of a rectangle is \(A = l\times w\). For the first rectangle with length \(l_1 = 11.8\ m\) and width \(w_1=2.5\ m\), \(A_1=l_1\times w_1=11.8\times2.5 = 29.5\ m^{2}\).

Step3: Calculate the area of the second rectangle

For the second rectangle with length \(l_2 = 8.6\ m\) and width \(w_2 = 4.4\ m\), \(A_2=l_2\times w_2=8.6\times4.4=37.84\ m^{2}\).

Step4: Calculate the total area

The total area \(A = A_1+A_2\). So \(A=29.5 + 37.84=67.34\ m^{2}\).

Answer:

\(67.34\)