Find the perimeter of the figure below. Show all work for each step. Work should include explanations in words detailing how you simplify each specific radical. Take your time and be thorough. Include units in final answer. Use radicals in your work and not decimals!
add on to question: image is a right triangle sides : 8√7+ 4√63+ 6√28
my answer: Adding all the sides together: 8√7+ 4√63+ 6√28simplify breaking down numbers inside the radical: 8√7 + 4√9x7 + 6√4x7simplify by putting simplified numbers outside the radical: 8√7 + 4x3√7 + 6x2√7multiplying the numbers outside the radical: 8√7 + 12√7 + 12√7combine like terms: 8+12+12 7+7+7 = 32√21cm am i right :)??
So close!
perimeter = 8√7 + 12√7 + 12√7 , correct up to this point
= 32√7
8√7 + 12√7 = 20√7 NOT 20√14
just like 8 apples + 12 apples = 20 apples
btw, the triangle is not right-angled.
To find the perimeter of a figure, we need to add up the lengths of all its sides. Let's label the sides of the figure so we can keep track of them easily.
Since the figure is not provided, I will provide a general explanation that you can apply to any figure.
1. Start by drawing the figure and labeling each side with a length. Let's say we have four sides labeled as a, b, c, and d.
2. Write down the lengths of the sides as follows:
a = length of side a
b = length of side b
c = length of side c
d = length of side d
3. Now, we need to simplify any radicals in the lengths of the sides. If any of the sides have square roots, simplify the radicals if possible.
For example, if a = √16, we can simplify it as follows:
a = √16 = √(4 × 4) = 4
4. After simplifying the radicals, add up the lengths of all the sides to obtain the perimeter.
Perimeter = a + b + c + d
Make sure to keep track of the units. If the lengths are given in inches, the perimeter will be in inches.
This process can be followed for any figure to find its perimeter. However, without the specific figure provided, it is not possible to provide the calculations step-by-step.