Question

Find the area
of the figure.

Answer 1

first the triangle

t area=b x h ÷2

=(5ft x 10.5ft)÷2

=26.25ft sq unit

second the rectangle

r area=L × b

=9ft × 7.5ft

=67.5ft sq unit

last the triangle

t area= b×h÷2

=(9ft×4.5ft)÷2

=20.25ft sq unit

Total area= 26.25ft+65.5ft+20.25ft

=112ft sq unit

Answer 2

110.25 ft^2

Explanation:

We can find the area of the figure by adding up the areas of three different shapes.

1) The right triangle

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base in the right triable is 5 and the height is 9.

--> 5 x 9 x 1/2

--> 45/2

--> 22.5

2) The rectangle

The formula for finding the area of a rectangle is: Base x Height

The base is 7.5 and the height is 9.

--> 7.5 x 9

--> 67.5

3) The Isosceles Triangle (On the very right)

The formula for finding the area of a right triangle is: Base x Height x 1/2

The base of the triangle is 9, and the height is 4.5.

--> 9 x 4.5 x 1/2

--> 40.5/2

--> 20.25

Now that we know the areas of separate shapes, all we need to do is add them up!

22.5 + 67.5 + 20.25

= 110.25.

The area of the figure is 110.25 ft^2