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Recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length. The length of a rectangle is 2 times the width. If the area is 392 square feet, then what is the length of the rectangle, in feet?

Sagot :

Answer:

7.7

Step-by-step explanation:

I did it on edu!

You can use the fact that area of a rectangle is its length times its width.

The length of the given rectangle is 28 feet.

What is the area of a rectangle?

Area of a rectangle is its length times its width.

If a rectangle has length x units and width y units, then we have:

[tex]Area = x \times y \: \rm unit^2[/tex]

How to calculate the values of items which are not known?

Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.

Using above method for getting the length of the rectangle

Let the length of the given rectangle be x units, and let its width be y

Then as it is given that

Length of the rectangle = 2 times width of the rectangle

or

[tex]x = 2 \times y[/tex]

We have area= 392 square feet

Since area = length times width, thus, we have

[tex]Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14[/tex]

Thus, the width of the rectangle is 14 feet

And thus, the length of the rectangle = double of width = 28 feet.

Thus,

The length of the given rectangle is 28 feet.

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