If anyone could me with this i would greatly appreciate

The area of the house is approximately 309.54 feet²

Step-by-step explanation:

* Lets describe the figure

- It has a quarter circle with radius = the width of the rectangle

- It has a rectangle with length = 26 - the length of the radius, and

 width 10 feet

- It has a triangle with base equal the length of the rectangle and

 height 8 feet

- It has a trapezoid, the length of its two parallel bases are 2 , 5 and

 height 2 feet

* Lets revise the area of all the shape above

- Area the quarter circle = 1/4 π r²

- Area of the rectangle = length × width

- Area of the triangle = 1/2 × base × height

- Area of the trapezoid = 1/2( the sum of the parallel bases) × height

* Now lets solve the problem

# Area of the quarter circle

∵ The radius of the circle = the width of the rectangle

∵ The width of the rectangle = 10 feet

∴ The radius of the circle = 10 feet

∵ The area of the quarter circle = 1/4 π r²

∴ Its area = 1/4 π (10)² = 25π feet²

# Area of the rectangle

∵ The length of the rectangle = 26 - the length of the radius

∵ the length of the radius = 10 feet

∴ The length of the rectangle = 26 - 10 = 16 feet

∵ The width of the rectangle = 10 feet

∵ The area of the rectangle = length × width

∴ Its area = 16 × 10 = 160 feet²

# Area of the triangle

∵ The base = the length of the rectangle

∵ The length of the rectangle = 16 feet

∴ The base = 16 feet

∵ The height = 8 feet

∵ The area of the triangle = 1/2 × base × height

∴ Its area = 1/2 × 16 × 8 = 64 feet²

# Area of the trapezoid

∵ The length of its two parallel bases are 2 feet , 5 feet

∵ The height = 2 feet

∵ The area = 1/2( the sum of the parallel bases) × height

∴ Its area = 1/2 (2 + 5) × 2 = 7 feet²

- Lets add all of these areas to find the area of the house

∴ The area of the house = 25π + 160 + 64 + 7 = 309.5398 feet²

* The area of the house is approximately 309.54 feet²

step-by-step explanation:

1. practice, practice & more practice

2. review errors

3. master the key concepts

do not try to memorise the processes.

4. understand your doubts.

5. create a distraction free study environment

6. create a mathematical dictionary

7. apply maths to real world problems.

k

step-by-step explanation:

domit