Question

1. find the area and perimeter of the following shape.

Explanation:

Step1: Calculate the area

Divide the shape into two rectangles. One rectangle has dimensions 12m by 25m and the other has dimensions 20m by 10m.
The area of the first rectangle $A_1 = 12\times25=300$ $m^{2}$.
The area of the second rectangle $A_2=20\times10 = 200$ $m^{2}$.
The total area $A=A_1 + A_2=300+200 = 500$ $m^{2}$.

Step2: Calculate the perimeter

The perimeter is the sum of all the outer - side lengths.
$P=12 + 25+ (25 - 10)+20+10+(12 + 20)=102$ m.

Answer:

Area: 500 $m^{2}$, Perimeter: 102 m