Respuesta :

Hi1315

Answer:

1824 in²

Step-by-step explanation:

This figure consists of a triangle and a rectangle.

To find the area of the entire figure , we have to find the area of the triangle and the rectangle separately and add them.

Let us solve now.

Area of the triangle

Area = [tex]\frac{1}{2}[/tex] × base × height

Area = [tex]\frac{1}{2}[/tex] × 48 × 12

Area = [tex]\frac{1}{2}[/tex] × 576

Area = 288 in²

Area of the rectangle

Area = length × width

Area = 48 × 32

Area = 1536 in²

Area of the entire figure

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

Total area = 288 in² + 1536 in²

Total area = 1824 in²

Hope this helps :-)

Let me know if you have any other questions :-)