Question

what is the area of this figure? 5 m 5 m 7 m 3 m 2 m 8 m square meters submit work it out not feeling ready yet? these c area of rectangles and squares (100) add lesson: area of compound shapes

Explanation:

Step1: Divide the figure into two rectangles

We can split the L - shaped figure into a larger rectangle and a smaller rectangle. The larger rectangle has dimensions \(5\space m\times7\space m\), and the smaller rectangle has dimensions \(3\space m\times2\space m\) (since the length of the smaller rectangle is \(8 - 5=3\space m\) and the width is \(2\space m\)).

Step2: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = l\times w\), where \(l\) is the length and \(w\) is the width. For the larger rectangle, \(l = 5\space m\) and \(w=7\space m\), so its area \(A_1=5\times7 = 35\space m^{2}\).

Step3: Calculate the area of the smaller rectangle

For the smaller rectangle, \(l = 3\space m\) and \(w = 2\space m\), so its area \(A_2=3\times2=6\space m^{2}\).

Step4: Calculate the total area

To find the area of the entire figure, we add the areas of the two rectangles together. So the total area \(A=A_1 + A_2=35 + 6=41\space m^{2}\).

Answer:

\(41\)