Question

find the area.
4
a = _

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). Here, the length is \(8m\) and the width is \(5m\).
\(A_{rectangle}=8\times5 = 40m^{2}\)

Step2: Calculate the area of the two triangles

The two triangles are congruent. The base of each triangle is \(8 - 5=3m\) and the height of each triangle is \(3m\). The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).
The area of one triangle is \(A_{triangle}=\frac{1}{2}\times3\times3=\frac{9}{2}m^{2}\).
The area of two triangles is \(A_{two - triangles}=2\times\frac{1}{2}\times3\times3 = 9m^{2}\)

Step3: Calculate the total area

The total area \(A\) of the composite figure is the sum of the area of the rectangle and the area of the two triangles.
\(A=A_{rectangle}+A_{two - triangles}\)
\(A = 40+9\)

Answer:

\(49m^{2}\)