Question

calculate the area of the following shape given that:
a = 5
b = 11
c = 16
d = 5
you only need to enter the final answer value of the shapes area. you do not need to enter the unit label.

Explanation:

Step1: Calculate the area of the first rectangle

The formula for the area of a rectangle is \(A = length\times width\). For the first rectangle with length \(b = 11\) and width \(a=5\), the area \(A_1=b\times a=11\times5 = 55\).

Step2: Calculate the length of the second rectangle

The length of the second rectangle is \(c - b=16 - 11=5\), and the width is \(d = 5\).

Step3: Calculate the area of the second rectangle

Using the area formula \(A = length\times width\) again, for the second rectangle with length \(c - b = 5\) and width \(d = 5\), the area \(A_2=(c - b)\times d=(16 - 11)\times5=25\).

Step4: Calculate the total area

The total area \(A=A_1 + A_2\). Substitute \(A_1 = 55\) and \(A_2=25\) into the formula: \(A=55 + 25=80\).

Answer:

80