Question

question 5
your answer is correct.
4 squares of the same size are placed side by side to make a single rectangle. the area of this new rectangle is 36 in². find its perimeter.
a) 48 in.
b) 12 in.
c) 24 in.
d) 30 in.
e) 9 in.

Explanation:

Step1: Find area of one square

The total area of the rectangle (made by 4 squares) is 36 in². So the area of one square is $\frac{36}{4} = 9$ in².

Step2: Find side length of square

Since the area of a square is $s^2$ (where $s$ is the side length), and $s^2 = 9$, then $s = \sqrt{9} = 3$ in.

Step3: Determine dimensions of rectangle

When 4 squares are placed side - by - side to form a rectangle, the rectangle will have a length of $4\times3 = 12$ in and a width of 3 in (or length 3 in and width 12 in, since perimeter is the same).

Step4: Calculate perimeter of rectangle

The formula for the perimeter of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Substituting $l = 12$ in and $w = 3$ in, we get $P = 2(12 + 3)=2\times15 = 30$ in.

Answer:

d) 30 in.