Question

Please help me ****(20 points)****

Answer 1

Explanation:

Area for a rectangle = Length x width

length = 12

width = 9

Area for rectangle = 12x9

Area for rectangle = 108 in²

Area for triangle = 1/2 base x height

base=12

height = 4

Area for triangle = 1/2 (12)(4)

Area for triangle = 24 in²

Area total = Area triangle + Area rectangle

Area total = 108 +24

Area total = 132 in²

Answer 2

Therefore, the area of the figure is 37.5 cm^2.

Explanation:

To find the area of the figure, we need to split it into smaller shapes and calculate the area of each shape separately.

First, we can see that the figure is made up of a square and two triangles.

The square has a side length of 5cm, so its area is:

Area of square = (side length)^2 = 5^2 = 25 cm^2

Now let's look at the two triangles.

Triangle 1 has a base of 5cm (the side length of the square) and a height of 2cm (the distance between the bottom of the square and the bottom of the triangle).

Area of triangle 1 = (base x height)/2 = (5 x 2)/2 = 5 cm^2

Triangle 2 has a base of 5cm (the side length of the square) and a height of 3cm (the distance between the top of the square and the top of the triangle).

Area of triangle 2 = (base x height)/2 = (5 x 3)/2 = 7.5 cm^2

Now we can add up the areas of the three shapes to find the total area of the figure:

Area of figure = Area of square + Area of triangle 1 + Area of triangle 2

= 25 cm^2 + 5 cm^2 + 7.5 cm^2

= 37.5 cm^2