Question

In a diagram of a landscape plan, the scale is 1 cm = 10
ft. In the diagram, the trees are 3.7 cm apart. How far apart should the actual trees be planted?
(1 point)
O 0.37 ft.
O 37 cm
O 37 ft.
O 370 ft.

Answer 1

What is the area of triangle APQR to the nearest tenth of a square meter? Drawing is not to
scale.
18 m
25
8 m
(1 point)
O 60.8 m²
O 65.3 m²
O30.4 m²
O 32.7 m²

Answer 2

0.37 ft.

Answer 3

We can use the formula for the area of a triangle:

(area) = 1/2 (base)(height)

To find the base and height, we can use the Pythagorean theorem:

(base)^2 + (height)^2 = (hypotenuse)^2

In this case, we can use 18 m as the hypotenuse.

First, we can find the length of segment PQ:

PQ^2 = 18^2 - 8^2 = 256

PQ = 16

Now we can use PQ as the base and find the height:

(height)^2 = 18^2 - 16^2 = 68

height ≈ 8.25

Then we can find the area:

(area) = 1/2 (16)(8.25) ≈ 66.0

Rounding to the nearest tenth, the area of triangle APQR is 66.0 m².

Answer: O 65.3 m²