A rectangular folder has a perimeter of 30 inches and an area of 54 square inches. What are the dimensions of the folder?

1 answer:

3 0

We know, perimeter = 2(l + w)
So, 2(l + w) = 30
2l + 2w = 30
Divide the equation 2,
l + w = 15

Now, Area = l * w
l * w = 54

Substitute the value of l from previous equation,
(15-w) * w = 54
15w - w² = 54
w² - 15w + 54 = 0
w² - 6w - 9w + 54 = 0
w(w - 6) -9(w - 6) = 0
(w-6)(w-9) = 0
w = 6 or 9

In short, Your Dimensions would be: 6 × 9 in

Hope this helps!

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3/4 divided by 1/5 PLEASE ANSWER

sergejj [24]

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.