Question

The perimeters of the two figures shown below are equal. Find the area of the rectangle. (Figure not drawn to scale.)

104 units^2
2184 units^2
248 units^2
250 units^2

Answer 1

lw = 1/2 bh

Answer 2

And? I need someone to show me how to solve this.. I dont need to know the formula.

Answer 3

first get the area of the rectangle
A= l w
multiply
length
and
width

Answer 4

Did you look at the graph? Its just X and 5x-1.

Answer 5

so?
just multiply it

Answer 6

distribute

Answer 7

The first thing you want to do is turn the values into an equation.
the rectangle perimeter = the triangle perimeter
2(5x-1+x) = 5x+6x+7+12

Examine where I got that from and then solve for x, and you'll have your answer.

Answer 8

How come I get X = 21?

Answer 9

If you got x=21....

Then you are...

ABSOLUTELY CORRECT!!! :-)

That's the value of "x"

Now you can plug "21" into the dimensions of the rectangle every place you find an "x", and you'll be able to calculate the rectangle's area!

Answer 10

So would it be answer B?

Answer 11

Yup!! You nailed it!!

Excellent work!! :-)

Answer 12

Thank you!

Answer 13

Glad I could help!

And thank you!! :-)

Answer 14

I have one more question about this cylindrical barrel....

What volume of water will fit inside a cylindrical barrel that has a total surface area of 1885 in^2 and a radius of 10 inches?

6283 in^3
20 in^3
1885 in^3
18850 in^3

Answer 15

hold on.
"Total" surface area means just that: walls and top and bottom.

So the area of an end is pi*r^2
That means the surface area of BOTH ends is 2*pi*r^2
Call this value TB for "top and bottom surfaces"
You need to subtract TB from 1885 to get the WALL SURFACE ONLY. We can call that value WS.

Okay, the area of the walls of a cylinder is:
WS = 2*pi*r*h

So if you divide WS by (2*pi*r) then you'll have your cylinder height.
That means:
h = WS / (2*pi*10)

And once you have h, then you can use it to find the volume of that cylinder:
v = pi*r^2*h