Question

what is the area of this figure? use 3.14 or a calculator button for pi and provide an answer accurate to the nearest tenth. 7 m 8 m 4 m 11 m label required

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 \(4m\). So, \(A_{rectangle}=8\times4 = 32m^{2}\)

Step2: Calculate the area of the trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 4m\), \(b=7m\), and \(h=(11 - 8)=3m\). Then \(A_{trapezoid}=\frac{(4 + 7)\times3}{2}=\frac{11\times3}{2}=16.5m^{2}\)

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{trapezoid}\). So, \(A=32 + 16.5=48.5m^{2}\)

Answer:

\(48.5m^{2}\)