How to Find Length if You Know Area and Width

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The rectangle below has a perimeter of 54. Discover the lengths of the unknown side. That is, find S.

Caption:

For a rectangle, its perimeter is the sum of all for sides. Nosotros can write

Simplify

Solve for S

Given a rectangle with a length  units longer than its width and an area of  foursquare units, notice the length of the rectangle's shortest side.

Correct answer:

Explanation:

The given rectangle has a length that is units longer than its width. This can be expressed in the following equation, where is the length and is the width of the rectangle.

Since the area of the rectangle is equal to its length multiplied past its width (), and the surface area of the rectangle is given, the following equation must exist true.

Replacing in this equation with its value stated in the first equation results in the post-obit.

Distribute the variable into the parentheses.

Factor the polynomial.

 and are both solutions for this equation, but is non valid as a width for a rectangle. The width of the rectangle is units, which is the shorter side since the length is units longer.

There is a regtangular fence surrounding a park. The perimeter of the fence is . What is the width of the fence if the length is ?

Correct answer:

A rectangle has a perimiter of 36 inches and a length of 12 inches.  What is the width of the rectangle in inches?

Correct answer:

Explanation:

To find the width, multiply the length that you take been given by 2, and subtract the effect from the perimeter. You at present take the total length for the remaining two sides.  This number divided by 2 is the width.

A rectangle four and a one-half times equally long as it is wide has perimeter of 272 centimeters. To the nearest tenth of a centimeter, how wide is information technology?

Correct answer:

Explanation:

If we phone call the width of this rectangle , then its length tin can be restated as, or, equivalently, .

The perimeter tin then be written as:

Since the perimeter of the rectangle is 272 cm, we can set up the following equation:

The width, in cm, of a rectangular fence is two more than half its length, in cm. Which of the post-obit gives the width, w cm, in terms of length, fifty cm, of the rectangular contend?

Possible Answers:

w = ½ fifty – 2

w = ½ 50 + 2

due west = 2l – 2

w = 2l + ii

Correct reply:

west = ½ l + 2

Explanation:

To find the width, we must accept one-half of the length, which means we must divide the length past ii. Then we must accept 2 more than that number, which means we must add together 2 to the number. Combining these, we get:

w = ½ l + 2

The width of a rectangle is 2 inches longer than 3 times its length.  Which of the following equations gives the width, w, of the rectangle in terms of its length, l,?

Possible Answers:

w = 3l + 2

west = 3l – two

w = 1/3l +2

westward = 6l +2

Correct answer:

w = 3l + 2

Explanation:

The width equals 3 times the length, so 3l, plus an additional 2 inches, so + 2, = 3l + 2

Your dad shows you a rectangular scale drawing of your business firm. The drawing is half dozen inches by 8 inches. Yous're trying to figure out the actual length of the shorter side of the business firm. If you know the actual length of the longer side is 64 feet, what is the actual length of the shorter side of the business firm (in feet)?

Explanation:

We can solve this by setting upward a proportion and solving for x,the length of the shorter side of the house. If the drawing is scale and is 6 : viii, then the bodily house is x : 64. Then we tin can cross multiply so that 384 = 8x. We then divide by viii to get x = 48.

If the perimeter of a rectangle is and the length of the rectangle is, what is the width of the rectangle?

Correct reply:

Caption:

Call up how to detect the perimeter of a rectangle.

We can so manipulate this equation to discover the width.

At present, plug in the data given by the question to find the width.

If the perimeter of a rectangle is and the length of the rectangle is, what is the width of the rectangle?

Correct answer:

Explanation:

Call up how to discover the perimeter of a rectangle.

We can then dispense this equation to detect the width.

Now, plug in the information given by the question to find the width.

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