If you know the area of a rectangle can you predict its perimeter? Explain

2 answers:

6 0

No. The area doesn't tell you the dimensions, and you need
the dimensions if you want the perimeter.

If you know the area, you only know the product of the length and width,
but you don't know what either of them is.

In fact, you can draw an infinite number of different rectangles
that all have the same area but different perimeters.

Here. Look at this.
I tell you that a rectangle's area is 256. What is its perimeter ?

-- If the rectangle is 16 by 16, then its perimeter is 64 .
-- If the rectangle is 8 by 32, then its perimeter is 80 .
-- If the rectangle is 4 by 64, then its perimeter is 136 .
-- If the rectangle is 2 by 128, then its perimeter is 260 .
-- If the rectangle is 1 by 256, then its perimeter is 514 .
-- If the rectangle is 0.01 by 25,600 then its perimeter is 51,200.02

Sergeu [11.5K]4 years ago

3 0

Because of the correlation of its width and length. In a rectangle length are equal, the same for the width.

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Given △ABC≅△JKL, m∠B=55°, and m∠L=25°, what is the measure of ∠J?

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For the answer to the question above,
<J = 100
because they are similar they have the same angles
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"Given △ABC≅△JKL"

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then by correspondance we can fill in
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If the perimeter of a right triangle is 42 units and the length of the hypotenuse is 20 units, find the length of the other two

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So
a^2+b^2=c^2
c=hypotenuse
a^2+b^2=20^2=400

if the permiter is 42 then
p=hypotonuse+side+side
42=20+side+side
subtract 20 from both sides
22=side+side

a+b=22
subtract b from both sides
a=22-b
subsitute for a in equation below
a+2+b^2=c^2
(22-b)^2+b^2=400
b^2-44x+484+b^2=400
2b^2-44x+484=400
divide both sides by 2
b^2-22x+242=200
subtract 200 from both sides
b^2-22x+42=0
factor
(b+/-number)(b+/-number)
to find the numbers, find which 2 number multiply to 42 and add to get -22
the numbers must be neative since same signs multiplied=positive and negative+negative=negative
(b-number)(b-number)
facrors of 42=2,3,6,7,14,21
2,21
3,14
6,7
it's hard to find the number, but the numbers are -19.8882 and -2.11181
(b-19.8882)(b-2.11181)=0
if xy=0 then assume that x and y=0

b-19.8882=0
add 19.8882 to both sides
b=19.8882

b-2.11181=0
add 2.11181 to both sides
b=2.11181

the side legnths are 19.8882 units and 2.11181 units

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