Question

How can you separate the animal reserve area into 3 parts to find the total area of the reserve?

Answer 1

Answer:  The answer is 417 sq. yards.

Step-by-step explanation:  As given in the question, we have divided the Animal Reserve area into three parts as shown in the attached figure.

The first part is the square ABCH with side length 15 yards, the second one is a rectangle GDEF with length 14 yards and breadth 12 yards, and the third one is the rectangle IHGJ with length 12 yards and breadth 2 yards.

Now will calculate the areas of these three figures and then add to find the total area of the Animal Reserve.

Area of square ABCH is given by

$A_1=15\times 15=225~\textup{sq. yards.}$

Area of rectangle GDEF is

$A_2=14\times 12=168~\textup{sq. yards.}$

And the area of rectangle IHJG is

$A_3=12\times 2=24~\textup{sq. yards.}$

Therefore, the total area of the Animal Reserve is given by

$A=A_1+A_2+A_3=225+168+24=417~\textup{sq. yards.}$