Question

checkpoint #4 quiz - compound perimeter & are
show all work to earn full credit and good luck

1. calculate the area and perimeter of each sha

a)
area: perimeter:

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 13m\) and \(w = 4m\).
\(A_{rectangle}=13\times4 = 52m^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). Here, \(b=(13 - 5+4)=12m\) and \(h = 5m\)
\(A_{triangle}=\frac{1}{2}\times12\times5=30m^{2}\)

Step3: Calculate the total area

\(A = A_{rectangle}+A_{triangle}\)
\(A=52 + 30=82m^{2}\)

Step4: Calculate the perimeter

The perimeter is the sum of all the outer - side lengths.
The outer - side lengths are \(4m\), \(13m\), \(4m\), \(5m\), \(5m\), and \(12m\) (the base of the triangle \(13 - 5+4\)).
\(P=4 + 13+4+5+5+12\)
\(P = 43m\)

Answer:

Area: \(82m^{2}\), Perimeter: \(43m\)