Amir is laying stone for his new patio. The diagram of the patio is shown. How many square feet of stone does Amir need to cover all of his patio?

I believe the top section (two triangles split down the middle) is 42 ft^2
The middle rectangle is 6 * 8, so 48 ft^2
Which leaves two triangle on both sides of the rectangle.
6*3=18, so each triangle is 9 ft^2
9+9=18+48=66+42=108

108 ft^2 should be correct

Answer Link

swapnalimalwadeVT swapnalimalwadeVT · Answer 2 · 2022-08-21T10:26:40+02:00

Amir needs 156 square feet to cover all of his patio.

Given,

Amir is laying stones for his new patio.

The diagram of the patio is shown.

We need to find how many square feet of stone Amir need to cover all of his patio.

We have the patio as given in the figure.

We can see that the patio has:

- Two right-angle triangles on top.

- Two smaller right-angle triangles on the bottom.

- One rectangle.

- Two right-angle triangles on top.

Here base = 14/2 = 7 ft and height = 6 ft

Area of this triangle = 1/2 x base x height = 1/2 x 7 x 6 = 21 square ft.

Combined area = 21 + 21 = 42 square feet.

- Two smaller right-angle triangles on the bottom.

Here the base = (14-8)/2 = 6/2 = 3 ft and height = 6 ft

Area of this triangle = 1/2 x base x height = 1/2 x 3 x 6 = 9 square feet.

Combined area = 9 + 9 = 18 square feet.

- One rectangle.

Here the length = 8 ft and width = 6 ft

Are of this rectangle = length x width = 8 x 6 = 48 square feet

Combined area = 48 + 48 = 96 square feet.

So we have

42 + 18 + 96 = 156 square feet.

Thus Amir needs 156 square feet to cover all of his patio.

Learn more about finding the area of a given figure here:

https://brainly.com/question/8152691

#SPJ5