Question
Find the perimeter and area of the following composite figure. Give the exact answers and the4 in12 inapproximations using the fact that T ~ 3.14 Exact AnswerApproximate AnswrerPerimeterAreaNOTE: Figures are NOT to scale Question Help: Message iflstructorPost to forumSubmit QuestionJump to Answer
Find the perimeter and area of the following composite figure. Give the exact answers and the 4 in 12 in approximations using the fact that T ~ 3.14 Exact Answer Approximate Answrer Perimeter Area NOTE: Figures are NOT to scale Question Help: Message iflstructor Post to forum Submit Question Jump to Answer
Answers
Find the complete perimeter of each figure. Leave your answers in terms of $\pi$ and whole numbers. (FIGURE CAN'T COPY).
In this case, we want to find perimeter of this rectangle. And so in this rectangle were given the fact that half of it is a 30 60 90 triangle. And so when we remember 30 60 90 triangles, we know that the whole pot news is two x The short side is X and the other side is X radical three. And so in this case, we're told that two X is equal to five, which means that X is 2.5. So we have sides of 2.5 and 2.5 Radical three. If we're gonna find the perimeter of this, we're gonna add these four together. So the perimeter is five plus five radical three, cause we're gonna have two sides of 2.5 and 2 2.5 43 So, times two makes that Bob Radical three. And so then when we use our calculator on that number, uh, plus five times radical three, it's gonna be 13.66 And since this is perimeter and we're measuring in centimeters for the area, we're gonna multiply length times with. So we have 2.5 times 2.5, Radical three. So our area is going to be 10.83 and areas measured in units squared. So there's our perimeter in our area.
In 41 were given a square. And so when we have a square, we have four equal sides. And so your perimeter is equal to four times what one of those sides is in this case, we know that the diagonal is 14. And so that means if we use the 45 45 90 that one side is seven radical too. And so our perimeter is four times seven or 28 radical, too, and so to the nearest 100th. Then 28 times radical too, is 39 0.60 And we are measuring in inches for the area. Your area is gonna be side squared. So we're gonna do seven radical too Tom's or square. So So that's gonna be 49 times two, which is 100 and sorry. Not 100 which is 98 and we're in inches squared. So the perimeter and the area
In 42. We have a rhombus. And so what we know about a rhombus, is that it? The sides are all equal. And so to find the perimeter of rhombus, the perimeter is just gonna be what one of the sides is times four. The information they give me is that part of a diagonal is three and another part is gonna be four. And so, if I use Pythagorean theorem three squared plus four squared equals X squared, I can reduce that X is equal to +5345 is a Pythagorean triple. So my perimeter is four times five for 20 centimetres. My area now for a rhombus, the area of a rhombus is 1/2 d, one times D two. So if I know the two diagonals I confined the area. In this case, we're gonna have ah, diagonal of six and a diagonal of eight. And so half of 48 is 24 centimeters squared. So we have a perimeter at an area
To find the perimeter in the area. Let's start by finding the missing side of this triangle. We can use the Pythagorean theorem. Eight square plus X squared is equal to 17 square. It's queer to 64 X squared is just X squared, and 17 squared is to 89. Subtract 64 from both sides. X squared is equal to 2 25 square root, which means X is equal to 15 so that we can find the area by multiplying 1/2 times the base eight times the height 15 and all that comes out to 60. And then we can find the perimeter by adding all the sides together. 15 unit plus eight plus 17 and all of that equals 40.