Question

9 sammy draws 3 identical rectangles on his paper. if each rectangle has a base of 15 cm and a height of 12 cm, what is the total area of all 3 rectangles added together? 10 mr. lee draws a diagram of his property. his house is shaped like a rectangle, with a base of 100 feet and a height of 75 feet. next to this house is his garage, which is shaped like a square. each of the sides of the garage is 25 feet. calculate the area of the entire property belonging to mr. lee.

Explanation:

Step1: Calculate the area of one rectangle

The formula for the area of a rectangle is \(A = base\times height\). For the first problem, with \(base = 15\ cm\) and \(height=12\ cm\), the area of one rectangle \(A_1=15\times12 = 180\ cm^{2}\).

Step2: Calculate the total area of 3 rectangles

Since there are 3 identical rectangles, the total area \(A_{total1}=3\times A_1\). Substituting \(A_1 = 180\ cm^{2}\), we get \(A_{total1}=3\times180=540\ cm^{2}\).

For the second problem:

Step1: Calculate the area of the house (rectangle)

Using the formula \(A = base\times height\), with \(base = 100\) feet and \(height = 75\) feet, the area of the house \(A_{house}=100\times75=7500\) square - feet.

Step2: Calculate the area of the garage (square)

The formula for the area of a square is \(A = side\times side\). With \(side = 25\) feet, the area of the garage \(A_{garage}=25\times25 = 625\) square - feet.

Step3: Calculate the total area of the property

The total area of the property \(A_{total2}=A_{house}+A_{garage}\). Substituting \(A_{house}=7500\) square - feet and \(A_{garage}=625\) square - feet, we get \(A_{total2}=7500 + 625=8125\) square - feet.

Answer:

The total area of the 3 rectangles is \(540\ cm^{2}\). The total area of Mr. Lee's property is \(8125\) square - feet.