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2 years ago

6

A square piece of paper is folded in half vertically. If the resulting figure has a perimeter of 12 cm what was the area of the

original square

1 answer:

Slav-nsk [51]2 years ago

8 0

Answer:

24cm

Step-by-step explanation:

6+6+6+6=24

12 is half so you should add 12 or multiply by 2

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Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

2 years ago

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

salantis [7]

Answer:

b =15

Step-by-step explanation:

We can use Pythagoras theorem to find b:

$a^{2}+b^{2} = c^{2}$

$8^{2} + b^{2} = 17^{2}$

64 + $b^{2}$ = 289

64 + 225 = 289

64 + $15^{2}$ = 289

b = 15

hope this helps :) and sorry if not right

7 0

2 years ago

Read 2 more answers

What is the standard numeral for nineteen million,seven hundred thousand

ivolga24 [154]

19,700,000 because 19 million is 19,000,000 and 700,000 is 700,000 add thise together and you get 19,700,000

7 0

3 years ago

How long should the wooden frame be (use 3.14 for pi)

scoundrel [369]

C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)

Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.

Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.

For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)

C=9.42 < this is the circumference of the circle.

Then you add the sides of the table which are 20 feet.

So the final answer is 29.42 feet.

6 0

3 years ago

How is a rectangle similar to a square?

STatiana [176]

Answer:

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

Hope this helps!

7 0

3 years ago

Read 2 more answers