Question

Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the

nearest tenth, if necessary.
C(-4,0)
A(0,4)
B(2,0)

Answer 1

16.1 as a Perimeter and Area is 12 this is the correct answer.

Answer 2

• Perimeter: 16.1 cm
• Area: 12 cm²

Explanation:

You want the perimeter and area of the triangle shown.

Perimeter

The perimeter is the sum of the lengths of the sides of the triangle. For sides not vertical or horizontal, the distance formula can be used to find the side length.

d = √((x2 -x1)² +(y2 -y1)²)

AC = √((-4 -0)² +(0 -4)²) = 4√(1+1) = 4√2 ≈ 5.657 . . . . cm

AB = √((2 -0)² +(0 -4)²) = 2√(1 +4) = 2√5 ≈ 4.472 . . . . cm

Then the perimeter is ...

AC +AB +CB = 5.657 +4.472 +6 = 16.129 ≈ 16.1 . . . . cm

The perimeter is 16.1 cm.

Area

The area is half the product of the base and height. The base is AC, length 6. The height is AO, length 4.

A = 1/2(6)(4) = 12 . . . . cm²

The area is 12 cm².

<95141404393>