Question

Find the exact perimeter or circumference and area of each figure :))

Answer 1

1. Perimeter = 12 units

Area = 6 squared units

Step-by-step explanation:

The perimeter of the triangle is equal to the sum of the length of every side.

So, we know that the measures of the triangle are:

Now, to find x, we can apply the Pythagorean theorem, so:

`\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{3^2+4^2} \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}`

Therefore, the perimeter of the triangle is:

Perimeter = x + 4 + 3 = 5 + 4 + 3 = 12

On the other hand, the area of the triangle can be calculated as:

`\text{Area}=(base\cdot height)/(2)`

So, replacing the base by 4 and the height by 3, we get:

`\text{Area}=(3\cdot4)/(2)=(12)/(2)=6`

So, the perimeter of the 1st figure is 12 units and the area of the 1st figure is equal to 6 squared units.