Question

Find the area of the figure below

Options
360 ft²

240 ft²

275 ft²

300 ft²

Answer 1

Total area of figure is 300 ft ²

Explanation:

Finding the area of rectangle

We know that

• Area of rectangle = length × width

Where,

• length of rectangle = 10 ft
• width of rectangle = 24 ft

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

• Area of triangle = 1 /2 × Base × Height

Where,

• Base of triangle = 24 ft
• Height of triangle = 15 - 10 = 5 ft

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

Answer 2

The total area is 300 ft^2

Explanation:

First find the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2