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kow [346]
3 years ago
6

one side of a rectangle is 4 feet shorter than four times the other side. find the sides of the are if the rectangle is 24 squar

e feet
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0

Answer:

The first side of the rectangle  =  3 ft

The other side =  8 ft

Step-by-step explanation:

Let the one side of the rectangle  = k feet

So, the other side of the rectangle = 4 ( First side) -4  =  (4 k -4 ) ft

Now, the area of the given same rectangle  = 24 sq ft

Area of the RECTANGLE = LENGTH x WIDTH

⇒ Area  = k x ( 4k - 4)

or, k ( 4k - 4)  = 24

\implies 4k^2 - 4k  = 24\\\implies k^2 - k = 6\\\implies k^2 - k - 6  = 0\\\implies k^2 - 3k + 2k - 6 = 0

or, k(k-3) +2(k-3) = 0

or, (k-3)(k+2) = 0

or, k = 3, or k = -2

As k = Length of the rectangle, so CAN NOT BE NEGATIVE.

⇒ k ≠ -2 , ⇒ k = 3 ft

So, the first side of the rectangle  = k =  3 ft

The other side = 4 k - 4   =  4 (3) - 4 = 12 - 4 =  8 ft

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3 years ago
Heron’s formula: Area = Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of tria
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Let's assume a,b,c the 3 sides of the triangle.

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4 0
3 years ago
Read 2 more answers
Light travels 1.08 x 10 9 kilometers in one hour. How far does it travel in 2 hours?
ozzi

The distance traveled by the light in 2 hours is 2.16×10⁹ km.

<h3 /><h3>Distance:</h3>

This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).

To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.

Formula:

  • S = d/t................. equation 1

Where:

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From the question,

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The distance traveled in 2 hours is

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Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km

Learn more about distance here: brainly.com/question/23848540

6 0
2 years ago
A rectangle has an area of 72 square inches. The width of the rectangle is 6 inches. What is the length of the rectangle?
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Step-by-step explanation:


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3 years ago
Write an equation for the translation of y=|x|. 2 units down.
Bezzdna [24]
B. Y = <span>|x| - 2
when moving left or right...meaning moving horizontally.......the number is added inside the parenthesis. 

This one is moving up or down ....meaning moving horizontally........so the number is added outside the parenthesis. If it moves up then add(+)..........if it moves down then subtract(-). The formula used for horizontal shifts is, y=lXl + k
.Here k will become negative or remain positive based on the given data.

Now,
It's a horizontal shift, so we can eliminate C and D.
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so the answer is B.
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moves 2 units down so our k = (-2)
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</span>
6 0
3 years ago
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