Question

paul is making a birdhouse with the measurements shown on the drawing at the right. what is the area of the back of the birdhouse? area=______sq cm

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, the length \(l = 19\) cm and the width \(w=23\) cm. So, \(A_{rectangle}=19\times23 = 437\) \(cm^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times b\times h\). The base \(b = 19\) cm and the height \(h=33 - 23=10\) cm. So, \(A_{triangle}=\frac{1}{2}\times19\times10=95\) \(cm^{2}\)

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{triangle}\). So, \(A=437 + 95=532\) \(cm^{2}\)

Answer:

\(532\)