Question

Anyone can help with this?11. Consider the diagram at right.Ana. What is the total area of the square?b. What is the area of the shaded region?

Answer 1

Solution:

Consider the graph;

(a) The total area of the square is;

$\begin{gathered} A_{square}=l^2 \\ \\ l=12units \\ \\ A_{square}=12^2 \\ \\ A_{square}=144 \end{gathered}$

ANSWER: The total area of the square is 144 square units.

(b) The area of the shaded region is;

$\begin{gathered} A_{shaded}=\frac{1}{2}bh \\ \\ b=base\text{ }length,h=height\text{ of the shaded region.} \\ \\ A_{shaded}=\frac{1}{2}(11)(8) \\ \\ A_{shaded}=44 \end{gathered}$

ANSWER: The area of the shaded region is 44 square units.

(c) The ratio that would be in the shaded area is;

$\begin{gathered} \frac{A_{shaded}}{A_{square}}=\frac{44}{144} \\ \\ \frac{A_{shaded}}{A_{square}}=\frac{11}{36} \end{gathered}$

ANSWER: The answer is 11:36