Question

question 4 (1 point) 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 blank 1:

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 23\) cm and \(w=19\) cm. So, \(A_{rectangle}=23\times19 = 437\) \(cm^{2}\)

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 \(b = 33 - 19=14\) cm and the height \(h = 23\) cm. So, \(A_{triangle}=\frac{1}{2}\times14\times23= 161\) \(cm^{2}\)

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{triangle}\). So, \(A=437 + 161=598\) \(cm^{2}\)

Answer:

598