A rectangle is 3 times as long as it is wide, and its perimeter is 48 centimeters. Find its dimensions. width cm length cm

The perimeter of a rectangle is defined as,

P = 2(l + w)

P = perimeter

l = length of rectangle

w = width of rectangle.

In our instance,

P = 48 cm

l = 3w

w = w.

Plug our values into the perimeter formula above.

48 cm = 2(3w + w).

Simplify the right side.

48 cm = 2(4w).

Multiply 2 by 4w.

48 cm = 8w.

Divide each side by 8.

6 cm = w.

We know the length is 3 times as much as the width, therefore,

l = 3(6).

Multiply 3 by 6.

l = 18 cm.

The length is 18 cm and the width is 6 cm.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.