A square has an area of 49 sq in. How do you find the perimeter?

The perimeter is 28 in.

Step-by-step explanation:

We know that the area is 49 square inches and that the area of a square equals length times width. Also, all sides of a square are equal. 7 times 7 equals 49, so the length and width are both 7 inches. The perimeter is equal to all the sides added together. There are four sides in a square, and we know that each side is 7 inches. Therefore, we can add 7+7+7+7 (or multiply 7 times 4) to get the square’s perimeter: 28 inches.

square root

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)