The length of a rectangle is 5 times it’s width. If the perimeter of a rectangle is 72 m, find its area

1 answer:

6 0

X = width. the perimeter of a rectangle is 2*length + 2*width, so the perimeter of this rectangle is 2x + 2(5x) = 72. distribute the two to get 2x + 10x = 72. so 12x = 72. divide by twelve to get x = 6. the width is six, so the perimeter (5x) is 30. the area of a rectangle is length times width, 30*6, so the area is 180 m.

You might be interested in

Someone help mamd explain

sineoko [7]

So if 3/4 of the seats are filled, there are a few methods we can use.

The simplest method:

Just multiply 3/4 by 500, to get 1500/4, or 375.

So 375 seats are filled.

A method that can be used with harder problems and will be more efficient in those cases:

Using proportions.

You could say,

?/500 = 3/4

And then cross multiply,

500 * 3 = 4 * x (say the ? = x)

1500 = 4x

/4 /4

x = 375

So either way we get the answer, 375 seats were filled.

8 0

3 years ago

Find the first, fourth, and eighth terms of the sequence. A(n) = −2 ∙ 2x − 1

Nutka1998 [239]

$A(n)=-2\cdot2^{n-1}\\\\\text{Find the first, fourth, and eighth terms}\\\text{It means}\ A(1),\ A(4)\ \text{and}\ A(8).\\\\\text{Substitute}\ n=1,\ n=4\ \text{and}\ n=8\ \text{in}\ A(n):\\\\A(1)=-2\cdot2^{1-1}=-2\cdot2^0=-2\cdot1=-2\\\\A(4)=-2\cdot2^{4-1}=-2\cdot2^3=-2\cdot8=-16\\\\A(8)=-2\cdot2^{8-1}=-2\cdot2^7=-2\cdot128=-256\\\\\boxed{Answer:\ -2,\ -16,\ -256}$