Question

I’m posting a lot of these until I reach 90 on ixl, please bear with me lol

Answer 1

Answer = 327.5 ft2
Solution in picture

Answer 2

327.5 feet²

Explanation:

Let's divide the figure into multiple shapes (Refer to image). To determine the area of the figure, we need to find the area of the divided shapes, then sum it up to obtain the area of the figure.

Determining the area of the triangle:

Given dimensions:

• Height = 11 feet

Determining the base of the triangle:

`22 + b + 5 = 7 + 8 + 17`

`27 + b = 32`

`b = 32 - 27`

`b = 5 \ \text{ft}`

Substituting the base and the height:

`\text{Area of triangle} = (1)/(2) * \text{Base} * \text{Height}`

`\text{Area of triangle} = (1)/(2) * 5*11`

Simplifying the R.H.S to determine the area:

`\text{Area of triangle} = 5*5.5`

`\text{Area of triangle} = 27.5 \ \text{ft}^(2)`

Determining the area of rectangle₁

Given dimensions:

• Length = 17 feet
• Breadth = 5 feet

Substitute the length and the breadth:

`\text{Area of rectangle}_(1)} = LB`

`\text{Area of rectangle}_(1)} = (5)(17)`

Simplify the R.H.S to determine the area:

`\text{Area of rectangle}_(1)} = 85 \ \text{feet}`

Determining the area of rectangle₂

Given dimensions:

• Length = 5 + 7 feet
• Breadth = 8 feet

Substitute the length and the breadth:

`\text{Area of rectangle}_(2) = LB`

`\text{Area of rectangle}_(2) = (7 + 5)(8)`

Simplify the R.H.S to determine the area

`\text{Area of rectangle}_(2) = (7 * 8) + (5 * 8)`

`\text{Area of rectangle}_(2) = 56+ 40`

`\text{Area of rectangle}_(2) = 96 \ \text{feet}^(2)`

Determining the area of rectangle₃

Given dimensions:

• Length = 17 feet
• Breadth = 7 feet

Substitute the length and the breadth:

`\text{Area of rectangle}_(2) = LB`

`\text{Area of rectangle}_(2) = (17)(7)`

Simplify the R.H.S to determing the area:

`\text{Area of rectangle}_(2) = 119\ \text{feet}^(2)`

Determining the area of the figure:

A (Figure) = A (Triangle) + A (Rectangle₁) + A (Rectangle₂) + A(Rectangle₃)

= 27.5 + 85 + 96 + 119

= 327.5 feet²