The given figure can be divided into a rectangle and a triangle
The rectangle has the dimensions 10 m by 12 m
so, the area of the rectangle = 10 x 12 = 120 square meters
Now, we will find the area of the triangle:
Base = 12 - 10 1/4 = 1 3/4 m
Height = 15 - 10 = 5 m
Area = 1/2 x base x height =
![(1)/(2)\cdot1(3)/(4)\cdot5=(1)/(2)\cdot(7)/(4)\cdot5=(35)/(8)=4(3)/(8)m^2](https://img.qammunity.org/2023/formulas/mathematics/college/ooqxgdv65jog3z5oukpenndw06rck7ehnq.png)
So, the total area =
![120+4(3)/(8)=124(3)/(8)m^2](https://img.qammunity.org/2023/formulas/mathematics/college/m793uxtw2z98mudhf71o6fab0vb7pfgx3u.png)